Archive

Abstract:

The stabilization of groundwater resources in excellent quality is crucial for both the environment and human societies. To examine the contaminant concentration pattern of infinite and semi-infinite aquifers, mathematical models provide accurate descriptions. The two-dimensional model for a semi-infinite heterogeneous porous medium with temporally dependent and space-dependent (degenerate form) dispersion coefficients for longitudinal and transverse directions is derived in this study. The Laplace Integral Transform Techniques (LITT) is used to find analytical solutions. The dispersion coefficient is considered the square of the velocity which represents the seasonal variation of the year in coastal/tropical regions. To demonstrate the solutions, the findings are presented graphically. Figures are drawn for different times for a function and discussed in the result and discussion section. It is also concluded that a two-dimensional model is more useful than a one-dimensional model for assessing aquifer contamination.

Keywords:

2-D Advection-dispersion equation,Aquifer,Heterogeneity,Pollution,Laplace transform,

Refference:

I. A. Kumar, D. K. Jaiswal, N. Kumar,: ‘Analytical solutions to one dimensional advection-diffusion equation with variable coefficients in semi—infinite media’. J Hydrol., 380:330–337.(2010)

II. A. Sanskrityayn, N. Kumar,: ‘Analytical solution of ADE with temporal coefficients for continuous source in infinite and semi-infinite media’J. Hydrol. Eng. 23 (3). 06017008.(2018). 10.1061/(ASCE)HE.1943-5584.0001599.

III. C. L. Carnahan, and J S Remer,: ‘Non-equilibrium and equilibrium sorption with a linear sorption isotherm during mass transport through porous medium: some analytical solutions’ J Hydrol.73:227–258.(1984)

IV. C. K. Thakur, M. Chaudhary, van der Zee S.E.A.T.M., and M. K.Singh, : ‘Two-dimensional solute transport with exponential initial concentration distribution and varying flow velocity’, Pollution, 5(4), 721-737. (2019) 10.22059/poll.2019.275005.574

V. D. K. Jaiswal, A. Kumar and N. Kumar, : ‘Discussion on ‘Analytical solutions for advection-dispersion equations with time-dependent coefficients by Baoqing Deng, Fie Long, and Jing Gao.’ J. Hydrol. Eng. 25 (8): 07020012 (1-2).(2020).

VI. D. K. Jaiswal, A. Kumar, N. Kumar and M. K. Singh, : ‘Solute transport along temporally and spatially dependent flows through horizontal semi-infinite media: dispersion being proportional to square of velocity.’ J Hydrol. Eng. 16(3) : 228–238. (2011)

VII. D. K. Jaiswal, A. Kumar, N. Kumar and R. R. Yadav, : ‘Analytical solutions for temporally and spatially dependent solute dispersion of pulse type input concentration in one-dimensional semi-infinite media.’ J Hydro-environ Res 2: 254-263.(2009).

VIII. D. K. Jaiswal and Gulrana, ; ‘Study of Specially and Temporally Dependent Adsorption Coefficient in Heterogeneous Porous Medium.’ Appli and Applied Mathe: An Int Journal (AMM) 14 (1):485-496.(2019).

IX. D. K. Jaiswal, N. Kumar and R. R. Yadav, : ‘Analytical solution for transport of pollutant from time-dependent locations along groundwater.’ J. Hydro., 610.(2022).

X. J. Crank, : ‘The mathematics of diffusion.’ Oxford University Press, UK. (1975).

XI. J. Crank, (1956). ‘The Mathematics of Diffusion.’ Oxford University Press Inc.: New York; 414.

XII. J. D. Logan, V. Zlotnik, : ‘The convection–diffusion equation with periodic boundary conditions.’ Applied Mathematics Letters 8(3): 55–61.(1995).

XIII. K. Inouchi, Y. Kishi, T. Kakinuma : ‘The motion of coastal groundwater in response to the tide.’ Journal of Hydrology 115: 165–191_8.(1990).

XIV. L.H. Baetsle:‘Migration of radionuclides in Porous media. In Progress in Nuclear energy.’Series XII, Health Physics (ed). A.M.F. Duhamel Pergmon Press: Elmsford, New York; 707–730.(1969).

XV. M. Th. Van Genuchten and W. J. Alves,:‘Analytical solutions of the one-dimensional convective-dispersive solute transport equation.’ USDA ARS Technical Bulletin Number 1661, U.S. Salinity Laboratory.(1982)

XVI. M. Chaudhary, M K Singh,:‘Study of multispecies convection-dispersion transport equation with variable parameters.’J. Hydrol. 591. DOI: 10.1016/j.jhydrol.2020.125562.(2020).

XVII. M. K. Singh, N. K. Mahato, and P. Singh, : ‘Longitudinal dispersion with time dependent source concentration in semi-infinite aquifer.’ J. Earth System Sci 117(6):945-949.(2008).

XVIII. O. Güven, F. J. Molz, J. G. Melville, : ‘An Analysis of Dispersion in a Stratified Aquifer.’ Water Resources Research 20 (10): 1337–135,(1984).

XIX. D. K. Jaiswal, A. Dubey, V. Singh and P. Singh, : ‘Temporally Dependent Solute Transport in One-Dimensional Porous Medium: Analytical and Fuzzy Form Solutions.’ Mathematics in Engineering Science and Aerospace, 14(3), 711-719.(2023).

XX. P. Singh, P. Kumari and D. K Jaiswal,:‘An Analytical model with off diagonal impact on Solute Transport in Two-dimensional Homogeneous Porous Media with Dirichlet and Cauchy type boundary conditions.’GANITA, Vol.72(1), 299-309.(2022).

XXI. P. Singh, S. K. Yadav and N. Kumar, : ‘One-Dimensional Pollutant’s Advective-Diffusive Transport from a Varying Pulse-Type Point Source through a Medium of Linear Heterogeneity.’ J. Hydrol. Eng, 17(9): 1047–1052. (2012).

XXII. P. Singh, S. K. Yadav, O. V. Perig, : ‘Two-dimensional solute transport from a varying pulse type point source Modelling and simulation of diffusive processes.’ 211-232, Springer.(2014).

XXIII. R. A. Freeze, and J. A. Cherry, : ‘Groundwater. Prentice-Hall, New Jersey.(1979)

XXIV. R. Kumar, A. Chatterjee, M. K.Singhand V. P. Singh, : ‘Study of solute dispersion with source/sink impact in semi-infinite porous medium.’ Pollution, 6(1),87-98,(2020). 10.22059/poll.2019.286098.656

XXV. R. R. Rumer, : ’Longitudinal dispersion in steady and unsteady flow.’ J Hydraul. Div. 88:147–173.(1962).

XXVI. R. R. Yadav and L. Kumar, : ‘Solute Transport for Pulse Type Input Point Source along Temporally and Spatially Dependent Flow.’ Pollution, 5(1): 53-70.(2019).

XXVII. R. R. Yadav, D. K. Jaiswal and Gulrana, : ‘Two-Dimensional Solute Transport for Periodic Flow in Isotropic Porous Media: An Analytical Solution.’ Hydrol Process. 26 (12):3425-3433.(2011). DOI: 10.1002/hyp.8398.

XXVIII. R. R. Yadav, D. K. Jaiswal, H. K. Yadav and Gulrana, : ‘Analytical solutions for temporally dependent dispersion through homogeneous porous media.’ Int. J. Hydrology Science and Technology, Vol. 2, No. 1, pp.101–115.(2012).

XXIX. S. E. Serrano, : ‘Hydrologic theory of dispersion in heterogeneous aquifers.’ J Hydrol. Eng. 1:144–151.(1996).

XXX. U. Y. Shamir, D.R.F Harleman, :‘Dispersion in layered porous media.’ J Hydraul. Div. 95:237–260.(1967)

XXXI. Y. Sun, A. S. Jayaraman, and G. S. Chirikjian, : ‘Lie group solutions of advection-diffusion equations.’ Phys. Fluids 33, 046604 (2021); 10.1063/5.0048467.

SPECIAL GRAPHS AND THEIR ZAGREB INDICES: A COMPARATIVE STUDY

Authors:

A. P. Pushpalatha, S. Suganthi

DOI NO:

https://doi.org/10.26782/jmcms.2024.04.00002

Abstract:

A simple, finite and connected graph is denoted by G=(V,E). The primary Zagreb index, denoted as M₁(G), characterizes the graph topologically by representing a squared degree sum of their vertices. Similarly, M₂(G) denotes a second Zagreb index, that offers a topological measure of summing the degree of the product for adjacent vertices of graph G. We investigate a study of this topological indices M₁(G)&M₂(G) and got some interesting results also.

Keywords:

Zagreb indices,first Zagreb index,second Zagreb index,Fan graph,Barbell graph,Thorn graph,

Refference:

I. Akhtar, S., Imran, M., Gao, W. and Farahani, M. R., : ‘On topological indices of honeycomb networks of graphene networks. Hacet.’ J. Math. Stat. 2018, 47(1) 19-35. 10.15672/HJMS.2017.464

II. Balaban A. T., Motoc I., Bonchev D., Mekenyan O., : ‘Topological indices for structure activity correlations.’ Topics Curr Chem,1983, 114:21-55
III. Das K. C., : ‘On comparing Zagreb indices of graphs.’ MATCH commun math comput Chem, 2010, 63: 433-440.

IV. Das, K. C, : ‘Maximizing the sum of the squares of the degrees of a graph.’ Discrete Math., 285, (2004), 57–66.

V. Das, K. C., Gutman, I. and Zhou, B., : ‘New upper bounds on Zagreb indices.’ J. Math. Chem., 46, (2009), 514–521.

VI. De, N., : ‘The vertex Zagreb index of some graph operations.’ Carpathian Math. Publ. 2016, 8(2), 215-223.

VII. Eliasi M, Iranmanesh A, Gutman I., : ‘Multiplicative versions of first Zagreb index., MATCH Commun Math comput chem, 2012, 68:217-230.

VIII. Farahani, M. R. and Kanna, M. R. (2015), : ‘Generalized Zagreb Index of V-Phenylenic Nanotubes and Nanotori.’ Journal of Chemical and Pharmaceutical Research, 7(11), 241-245.

IX. Gutman I., : ‘Multiplicative Zagreb indices of trees. Bull Soc Math Banja luka, 2011, 18:17-23.

X. Gutman I., Das K. C., : ‘The first Zagreb index 30 years after.’ MATCH Commun Math Comput Chem, 2004, 50: 83-92.

XI. Gutman, I., : ‘Distance in thorny graph.’ Publ. Inst. Math Beograd 63 (1998) 31-36.

XII. Gutman I., : ‘Trinajstic, N.G.T and molecular orbitals totalπ-electron energy of alternant hydrocarbons.’ chem. phys. Lett, 1972,17, 535-535.

XIII. Gupta C. K., Lokesha,v. Shwetha B. S. and Ranjini.P. S., : ‘Graph operations on the symmetric division deg index of ghs.’ Palestine. J. Math. 2017, 6(1), 280-286.

XIV. Khalifcha, M. H., : ‘Yousefi-Azaria, H., Ashrafi, A. R., : ‘The first and second Zagreb indices of some graph operations.’ Discret. Appl. Math. 2009, 157, 804-811.

XV. Kexiang XU, : ‘The Zagreb indices of graphs with a given clique number.’ Applied Mathematics Letters , Volume 6, Issue 11 (2011), Pages1026-
1030.

XVI. Kinkar Ch. Das, Kexiang XU, Junki Nam., : ‘Zagreb indices of graphs’ Frontiers of Mathematics 2015.
XVII. K. C. Das, I. Gutman and B. Horoldagva (2012). : ‘Comparison between Zagreb indices and Zagreb coindices.’ MATCH Commun. Math. Comput. Chem., 68, pp.189 – 198
XVIII. K. C. Das, I. Gutman and B. Zhou (2009). : ‘New Upper Bounds on Zagreb Indices.’ J. Math. Chem.,46, pp. 514 – 521.

XIX. Lokesha, V., Deepika, T., : ‘Symmetric division deg index of tricyclic tetracyclic graphs.’ Int. J. Sci. Eng. Res.2016 ,7(5), 53-55.

XX. R. Pradeep Kumar, Soner Nandappa D., M. R. Rajesh Kanna., : ‘Redefined Zagreb, Randic, harmonic and GA indices of graphene.’ International Journal of Mathematical Analysis Vol.11, (2017), no.10, 493- 502. 10.12988/ijma.2017.7454

XXI. Sridhara G., Kanna , M. R. R. and Indumathi, R. S. : ‘Computation of topological indices of graphene.’ J. Nanometrial (2015) ID 969348.

XXII. K. Thilagavathi and A. Sangeetha Devi, : ‘Harmonious coloring and Proceedings of International Conference on Mathematical and Computer Science.’ Department of Mathematics Loyola College Chennai. (ICMCS 2009) Page no 50-52.

XXIII. F. Harary, : ‘Graph Theory.’ Addision Wesley, Reading Mass (1972).

XXIV. Yan, Z., Liu, H. and Liu, H., : ‘Sharp bounds for the second Zagreb index of unicyclic graphs.’ J. Math. Chem., 42, (2007), 565–574.
10.1007/s10910-006-9132-7

XXV. Zhou, B. and Gutman, I., : ‘Further properties of Zagreb indices.’ MATCH Commun. Math. Comput. Chem., 4, (2005),233–239.

AN ANALYTICAL APPROACH TO THE NON-OSCILLATORY NONLINEAR MECHANICAL SYSTEMS HAVING INTEGRAL MULTIPLE ROOTS AND STRONG NON-LINEARITY

Authors:

Nasir Uddin, Md. Eaqub Ali, Anish Kumar Adhikary, Shuvo Sarker, M. Ali Akbar, Pinakee Dey6

DOI NO:

https://doi.org/10.26782/jmcms.2024.04.00003

Abstract:

The existence of over-damped nonlinear differential equations results from a variety of engineering conundrums and physical natural occurrences. Non-oscillatory dynamics with forced over-damping are used in the simulation of nonlinear differential systems. For non-oscillatory nonlinear differential systems, it is possible to derive approximations of solutions using a variety of analytical methods, both with and without external forcing. This paper introduces a novel method for estimating solutions for highly nonlinear damped vibration systems subject to parameterized external forcing. The extended Krylov-Bogoliubov-Mitropolsky (KBM) technique and harmonic equilibrium (HM), which have both been previously developed in the literature, are the foundation of the suggested method. This method was initially created by Krylov-Bogoliubov to discover periodic details in second-order nonlinear differential equations. Several examples are provided to show how the suggested technique is applied. The process is fairly simple and straightforward, and using this formula, the result can be found with very marginal errors from the previous citations. The primary significance of this approach is in its ability to provide approximate analytical solutions of the first order that closely align with the findings obtained by numerical methods. These solutions are applicable to a variety of beginning scenarios and are distinct from those presented in earlier literature. Also, we illustrated the two-dimensional graph of all the solutions that we got in this article by using the data from the mentioned table. The results that we obtained from this method are effective and reliable for better measurements of strong nonlinearities.

Keywords:

Nonlinear non-autonomous system,Damped nonlinear system,External force Vary with time,Perturbation equation,

Refference:

I. C. W. Lim and B. S. Wu, : ‘A new analytical approach to the Duffing-harmonic oscillator.’ Phys. Lett. A, vol. 311, pp. 365–373, 2003.

II. D. P, A. MZ, A. MS, and R. KC., : ‘An asymptotic method for time dependent nonlinear systems with varying coefficient.’ J. Mech. Cont. Math. Sci, vol. 3, no. 2, pp. 354–370, 2008. 10.26782/jmcms.2008.12.00007

III. G. M. Ismail, M. Abul-Ez, N. M. Farea, and N. Saad, : ‘Analytical approximations to nonlin ear oscillation of nanoelectro-mechanical resonators.’ Eur. Phys. J. Plus., vol. 134, no. 47, 2019.
10.1140/epjp/i2019-12399-2

IV. H. M. A., Chowdhury. M. S. H., Ismail G. M., and Yildirim A., : ‘A modified harmonic balance method to obtain higher-order approximations to strongly nonlinear oscillators.’ J. Interdiscip Math, vol. 23, no. 7, pp. 1325–1345, 2020. 10.1080/09720502.2020.1745385

V. H.-O.- Roshid, M. Z. Ali, P. Dey, and M. A. Akbar, : ‘Perturbation Solutions to Fifth Order Over-damped Nonlinear Systems.’ J. Adv. Math. Comput. Sci., vol. 32, no. 4, pp. 1–11, 2019, 10.9734/jamcs/2019/v32i430151.

VI. I. S. N. Murty, B. L. Deekshatulu, and G. Krisna. : ‘On an asymptotic method of Krylov-Bogoliubov for overdamped nonlinear systems.’ J. Frank Inst., vol. 288 (1), pp. 49–65, 1969. 10.1016/0016-0032(69)00203-1

VII. K. N. N. and N.N., Bogoliubov, : ‘Introduction to Nonlinear Mechanics.’ Princet. Univ. Press. New Jersey., 1947.

VIII. L. Cveticanin and G.M. Ismail, : ‘Higher-order approximate periodic solution for the os cillator with strong nonlinearity of polynomial type.’ Eur. Phys. J. Plus., vol. 134, 2019.

IX. L. M. J. Lu. ‘The VIM-Pad´e technique for strongly nonlinear oscillators with cubic and harmonic restoring force.’ J. Low Freq. Noise, Vib. Act. Control. 2018. 10.1177/1461348418813612

X. M. A. Hosen, M. S. H. Chowdhury, G. M. Ismail, and and A. Yildirim, : ‘A modified harmonic balance method to obtain higher-order approximations to strongly nonlinear oscillators.’ J. Interdiscip. Math., vol. 23, no. 7, pp. 1325–1345, 2020. 10.1080/09720502.2020.1745385

XI. M. Mohammadian, Pourmehran, O., and P. Ju, : ‘An iterative approach to obtaining the nonlinear frequency of a conservative oscillator with strong nonlinearities.’ Internat. Appl. Mech., vol. 54, pp. 470–479, 2018.

XII. M. S. Alam, : ‘Method of solution to the n-th order over-damped nonlinear systems under some special conditions.’ Bull. Call.Math. Soc., vol. 94, no. 6, pp. 437–440, 2002.

XIII. M. Shamsul Alam, : ‘Asymptotic methods for second-order over-damped and critically damped nonlinear system.’ Soochow J. Math, vol. 27, pp. 187–200, 2001.

XIV. M. ShamsulAlam. : ‘Method of solution to the order over-damped nonlinear systems with varying coefficients under some special conditions.’ Bull. Call. Math. Soc., vol. 96, no. 5, pp. 419–426, 2004.

XV. M. W. Ullah, M. S. Rahman, and M. A. Uddin. : ‘A modified harmonic balance method for solving forced vibration problems with strong nonlinearity.’ J. Low Freq. Noise, Vib. Act. Control., vol. 40, no. 2, pp. 1096 – 1104, 2021. 10.1177/1461348420923433

XVI. M. Yu., : ‘Problems on Asymptotic Method of non-stationary Oscillations’ (in Russian). 1964.

XVII. M. Shamsul Alam, : ‘Unified Krylov-Bogoliubov-Mitropolskii method for solving n-th order nonlinear system with slowly varying coefficients.’ J. Sound Vib., vol. 265 (5), pp. 987–1002, 2003.
10.1016/S0022-460X(02)01239-7

XVIII. N. A. H, : ‘Perturbation Methods.’ J. Wiley, New York, 1973.

XIX. N. N. M. Y. Bogoliubov, : ‘Asymptotic Method in the Theory of nonlinear Oscillations.’ Gordan Breach, New York., 1961.

XX. N. Sharif, Abdur Razzak, and M. Z. Alam, : ‘Modified harmonic balance method for solving strongly nonlinear oscillators.’ J. Interdiscip., vol. 22, no. 3, p. 353-375, 2019. 10.1080/09720502.2019.1624304

XXI. P. Dey, H. or Rashid, A. A. M, and U. M, S., : ‘Approximate Solution of Second Order Time Dependent Nonlinear Vibrating Systems with Slowly Varying Coefficients.’ Bull. Cal. Math. Soc, vol. 103, no. 5, pp. 371–38, 2011.
XXII. P. Dey, M. Asaduzzaman, R. Pervin, and M. A. Sattar. : ‘Approximate Solution of Strongly Nonlinear Vibrations which Vary with Time.’ J. Pure Appl. Ind. Phys., vol. 8, no. 9, pp. 107–114, 2018. 10.29055/jpaip/318.

XXIII. P. Dey, N. Uddin, and M. Alam. ‘An Asymptotic Method for Over-damped Forced Nonlinear Vibration Systems with Slowly Varying Coefficients.’ Br. J. Math. Comput. Sci., vol. 15, no. 3, pp. 1–8, 2016, 10.9734/bjmcs/2016/24531.

XXIV. P. Dey, S. M. A., and Z. A. M. : ‘Perturbation Theory for Damped Forced Vibrations with Slowly Varying Coefficients.’ J. Adv. Vib. Eng., vol. 9, no. 4, pp. 375–382, 2010.

XXV. P. I. P., : ‘A generalization of the Bogoliubov asymptotic method in the theory of non-linear oscillations (in Russian).’ Dokl. Akad. Nauk. SSSR, no. 111, pp. 308–310, 1956.

XXVI. R. MH, A. MAK, and A. MA, : ‘An asymptotic method for certain fourth order damped oscillatory nonlinear systems.’ J. Eng. Sci, vol. 1, pp. 53–50, 2010.

XXVII. R. Mickens, : ‘Comments on the method of harmonic balance.’ J. Sound Vib., vol. 94, no. 3, pp. 456–460, 1984.

XXVIII. U. MW, R. MS, and U. MA., : ‘A modified harmonic balance method for solving forced vibration problems with strong nonlinearity.’ Vib. Act. Control, vol. 40, no. 2, p. 146134842092343, 2020.

XXIX. W. UV and L. L., : ‘On the detection of artifacts in harmonic balance solutions of nonlinear oscillators.’ Appl Math Model., vol. 65, pp. 408–414, 2019.

XXX. Z.L. Tao, G. H. Chen, and K.X. Bai, : ‘Approximate frequency-amplitude relationship for a singular oscillator.’ J. Low Freq. Noise, Vib. Act. Control. 2019. 10.1177/1461348419828880

k-ZUMKELLER LABELING OF CERTAIN GRAPHS

Authors:

Arijit Mishra, Pinku Chandra Dey, Kamal Jyoti Barman

DOI NO:

https://doi.org/10.26782/jmcms.2024.04.00004

Abstract:

Let G be any graph. Then a one-one function f:V→ N is said to be a k-Zumkeller labeling of G if the induced function f^*: E→N defined by f^* (xy) =f(x)f(y) satisfies the following conditions: (i) For every xy∈E, f^* (xy) is a Zumkeller number. (ii) |f^* (E)|=k, where |f^* (E)| denotes the number of distinct Zumkeller numbers on the edges of G. In this paper, we prove the existence of k-Zumkeller labeling for certain graphs like tadpole, banana, friendship, and firecracker graphs.

Keywords:

Zumkeller number,banana graph,friendship graph,firecracker graph,tadpole graph,graph labeling.,

Refference:

I. B. J. Balamurugan, K. Thirusangu, DG Thomas (2013), : ‘Strongly multiplicative Zumkeller labeling of graphs’. International Conference on Information and Mathematical Sciences, Elsevier, 349-354.
II. B. J. Balamurugan, K. Thirusangu, DG Thomas (2014), : ‘Zumkeller labeling of some cycle related graphs’. Proceedings of International Conference on Mathematical Sciences (ICMS – 2014), Elsevier, 549-553.
III. B. J. Balamurugan, K. Thirusangu and D.G. Thomas, : ‘Zumkeller labeling algorithms for complete bipartite graphs and wheel graphs.’ Advances in Intelligent Systems and Computing, Springer, 324 (2014), 405-413. 10.1007/978-81-322-2126-5_45
IV. B. J. Murali, K. Thirusangu, R. Madura Meenakshi, : ‘Zumkeller cordial labeling of graphs’. Advances in Intelligent Systems and Computing, Springer, 412 (2015), 533-541.
V. B. J. Balamurugan, K. Thirusangu and D.G. Thomas, : ‘Algorithms for Zumkeller labeling of full binary trees and square grids’. Advances in Intelligent Systems and Computing, Springer, 325 (2015), 183192.
VI. B. J. Balamurugan, K. Thirusangu and D.G. Thomas, : ‘k-Zumkeller Labeling for Twig Graphs’. Electronic Notes in Discrete Mathematics 48 (2015) 119126.
VII. F. Harary, : in Graph theory, Addison-Wesley, Reading Mass (1972).
VIII. I. Cahit, : ‘On cordial and 3-equitable labeling of graph’. Utilitas Math., 370 (1990), 189-198.
IX. J.A. Gallian, : ‘A dynamic survey of graph labeling’. Electronic J. Combin., 17 (2014), DS6.
X. Rosa, : ‘On certain valuations of the vertices of a graph’. N. B. Gordan and Dunad, editors, Theory of graphs, International Symposium, Paris (1966) 349359.
XI. S. Clark, J. Dalzell, J. Holliday, D. Leach, M. Liatti and M. Walsh, : ‘Zumkeller numbers’. Mathematical Abundance conference at Illinois State University, 18.04.2018.
XII. Y. Peng and K. P. S. Bhaskara Rao, : ‘On Zumkeller numbers’. J. Number Theory, 133(4) (2013), 1135-1155. 10.1016/j.jnt.2012.09.020

QUALITATIVE BEHAVIOR OF THIRD-ORDER DAMPED NONLINEAR DIFFERENTIAL EQUATIONS WITH SEVERAL DELAYS

Authors:

M. Sathish Kumar, G. Veeramalai, S. Janaki, V. Ganesan

DOI NO:

https://doi.org/10.26782/jmcms.2024.04.00005

Abstract:

In this article, we examine the oscillation of a class of third-order damped nonlinear differential equations with multiple delays. Using the integral average and generalized Riccati techniques, new necessary criteria for the oscillation of equation solutions are established. The major effect is exemplified by an example.

Keywords:

Oscillation,nonlinear differential equations,third-order,delay arguments,damping,

Refference:

I. A. Tiryaki, M. F. Aktas,: ‘Oscillation criteria of a certain class of third order nonlinear delay differential equations with damping.’ Journal of Mathematical Analysis and Applications, 325 (2007), 54-68. 10.1016/j.jmaa.2006.01.001
II. C. S. Bose, R. Udhayakumar, A. M. Elshenhab, M. S. Kumar, J. S. Ro,: ‘Discussion on the Approximate Controllability of Hilfer Fractional Neutral Integro-Differential Inclusions via Almost Sectorial Operators’. Fractal and Fractional, 6(10), p.607.
III. G. S. Ladde, V. Lakshmikantham, B. G. Zhang,: ‘Oscillation Theory of Differential Equations with Deviating Arguments’. Monographs and Textbooks in Pure and Applied Mathematics 110, Marcel Dekker, New York, 1987.
IV. J. K. Hale. : ‘Theory of Functional Differential Equations’. Springer: New York, NY, USA, 1977.
V. M. Bohner, S.R. Grace, I. Sager, E. Tunc,: ‘Oscillation of third-order nonlinear damped delay differential equations’. Applied Mathematics and Computation, 278 (2016) 21-32. 10.1016/j.amc.2015.12.036
VI. M. Bohner, S.R. Grace, I. Jadlovska,: ‘Oscillation Criteria for Third-Order Functional Differential Equations with Damping’. Electronic Journal of Differential Equations, 2016 (215), 1-15.
VII. M. H. Wei, M. L. Zhang, X. L. Liu, Y. H. Yu. : ‘Oscillation criteria for a class of third order neutral distributed delay differential equations with damping’. Journal of Mathematics and Computer Science, 19 (2019), 19–28. 10.22436/jmcs.019.01.03
VIII. M. S. Kumar, O. Bazighifan, A. Almutairi, D. N. Chalishajar. : ‘Philos-type oscillation results for third-order differential equation with mixed neutral terms’, Mathematics, 9 (2021), ID 1021. 10.3390/math9091021
IX. M. Sathish Kumar, O. Bazighifan, Al-Shaqsi, F. Wannalookkhee, K. Nonlaopon,: ‘Symmetry and its role in oscillation of solutions of third-order differential equations’, Symmetry, 13, No 8, ID 1485; https://doi.org/10.3390/sym13081485
X. M. Sathish Kumar, S. Janaki, V. Ganesan. : ‘Some new oscillatory behavior of certain third-order nonlinear neutral differential equations of mixed type’. International Journal of Applied and Computational Mathematics, 78 (2018), 1-14. 10.1007/s40819-018-0508-8
XI. M. Sathish Kumar, V. Ganesan. : ‘Asymptotic behavior of solutions of third-order neutral differential equations with discrete and distributed delay’. AIMS Mathematics, 5, No 4, (2020), 3851-3874; 10.3934/math.2020250
XII. M. Sathish Kumar, V. Ganesan. : ‘Oscillatory behavior of solutions of certain third-order neutral differential equation with continuously distributed delay’. Journal of Physics: Conference Series, 1850, No 1 (2021), ID 012091. 10.1088/1742-6596/1850/1/012091
XIII. O. Arino, M. L. Hbid, E. A. Dads. : ‘Oscillation Theory for Difference and Functional Differential Equations’. Springer, Berlin (2006).
XIV. S. K. Marappan, A. Almutairi, L. F. Iambor, O. Bazighifan. : ‘Oscillation of Emden–Fowler-type differential equations with non-canonical operators and mixed neutral terms’. S ymmetry, 15(2) (2023), p.553. 10.3390/sym15020553
XV. S. R. Grace, J. R. Graef, E. Tunc. : ‘On the oscillation of certain third order nonlinear dynamic equations with a nonlinear damping term’. Mathematica Slovaca, vol. 67, no. 2, 2017, pp. 501-508.
10.1515/ms-2016-0284
XVI. S. R. Grace. : ‘Oscillation criteria for third order nonlinear delay differential equations with damping’. Opuscula Mathematica, 35, no. 4 (2015), 485–497. 10.7494/OpMath.2015.35.4.485
XVII. Y. Sun, Y. Zhao, Q. Xie. : ‘Oscillation and Asymptotic Behavior of the Third-Order Neutral Differential Equation with Damping and Distributed Deviating Arguments’. Qualitative Theory of Dynamical Systems, 22, 50 (2023). 10.1007/s12346-022-00733-4
XVIII. Y. Wang, F. Meng, J. Gu. : ‘Oscillation criteria of third-order neutral differential equations with damping and distributed deviating arguments’. Advances in Difference Equations, 2021, 515 (2021).
10.1186/s13662-021-03661-w

A SIMPLE STOCHASTIC EPIDEMIOLOGICAL MODEL

Authors:

Asish Mitra, Soumya Sonalika

DOI NO:

https://doi.org/10.26782/jmcms.2024.04.00006

Abstract:

In the present study, we introduce a simple stochastic differential equation based on the Susceptible-Infectious (SI) model to simulate the progression of COVID-19. For a detailed study, a cumulative number of individuals infected with COVID-19 in Norway from 26 Feb 2020 to 09 March 2023 is utilized. The Euler-Maruyama (EM) method is used to solve the problem. Computer codes are developed in Matlab for the solution process.

Keywords:

Brownian Motion,Covid-19,Epidemiology,Euler-Maruyama (EM) Method,Stochastic Differential Equation (SDE),

Refference:

I. Anderson, R. M. and Nokes, D. J., 1991. : ‘Mathematical models of transmission and control’. In Holland, W.W., Detels, R. and Knox, G. (eds), Oxford Textbook of Public Health, Oxford University Press, Oxford, 225-252.

II. Ang, K. C., : ‘A simple model for a SARS epidemic, Teaching Mathematics and Its Applications.’ 23, 2004, 181-188. 10.1093/teamat/23.4.181

III. Asish Mitra, : ‘Covid-19 in India and SIR Model’. J. Mech. Cont. & Math. Sci., 15 (7), 2020, 1-8. 10.26782/jmcms.2020.07.00001

IV. Asish Mitra, : ‘Modified SIRD Model of Epidemic Disease Dynamics: A case Study of the COVID-19 Coronavirus’. J. Mech. Cont. & Math. Sci., 16, 2021, 1-8. 10.26782/jmcms.2021.02.00001

V. Bissell, C. and Dillon, C. : ‘Telling Tales: Models, Stories and Meanings, For the Learning of Mathematics.’ 20, 2000, 3-11.

VI. Gard, T.C. : ‘Introduction to Stochastic Differential Equations, Marcel Dekker’. New York. 1988,

VII. Higham, D. J. : ‘An algorithmic introduction to numerical simulation of stochastic differential equations’. Society for Industrial and Applied Mathematics Review, 43, 2000, 525-546.

VIII. https://data.humdata.org/dataset/novel-coronavirus-2019-ncov-cases.

IX. Kloeden, P. E., and Platen, E. : ‘Numerical Solutions of Stochastic Differential Equations.’ Springer-Verlag, Berlin. 1999.

X. Oksendal, B. : ‘Stochastic Differential Equations’. 5th ed., Springer-Verlay, Berlin. 1998.

ANALYSIS OF METRO NETWORK BY APPLYING GRAPH THEORETICAL NOTIONS

Authors:

Kamal Jyoti Barman, Arijit Mishra

DOI NO:

https://doi.org/10.26782/jmcms.2024.04.00007

Abstract:

Indian cities are extending and growing very rapidly with the increase in population. As a result, there is a need to implement mass transit systems such as metro rail to meet their day-to-day mobility requirements. In recent years metro rail has grown in many Indian cities. Much like a graph that is made up of vertices and edges, a metro network is composed of stations and a metro route connecting them, where each station represents a vertex and any two vertices are adjacent whenever there is a link (metro route) between them. In this paper, we try to study the structure of a metro network via a graph theoretical approach.

Keywords:

Mass transit systems,Metro network,Metro network graph,

Refference:

I. F. Harary. : ‘Graph Theory’. Addison-Wesley publishing company, Inc. 1969

II. S. K. Bisen. : ‘Graph theory use in transportation problems and railway networks’. International journal of science and research, 2017, Vol-6 (5), 1764-1768.

III. S. Stoilova and V. Stoev. : ‘An application of graph theory which examines the metro networks’. Transport Problems, 2015, vol-10 (2), 35-48.

FEATURES OF THE USE AI IN GENERATIVE DESIGN OF BUILDING AND STRUCTURES

Authors:

Alexander Nikitin, Sergey Sinenko

DOI NO:

https://doi.org/10.26782/jmcms.2024.05.00001

admin May 10, 2024

Abstract:

The authors of the article consider what features appear when using artificial intelligence (AI) in the generative design of construction facilities. Every day artificial intelligence becomes more and more important in various fields of human activity. One of the areas of activity in which AI is actively being implemented is construction, namely digital (BIM) and generative (GD) building design. These areas of design include the development of design solutions for an object using computer algorithms and mathematical models. The article examines the positive aspects of implementing AI in generative design, compared to traditional design methods. The use of AI in generative design can improve the quality of produced design documentation by reducing the number of unintentional mechanical and technical errors, providing designers with a more extensive amount of analytical data. The authors focus on the main AI methods that are involved in GD, as well as the problems and limitations that arise when using AI in design.

Keywords:

Artificial Intelligence (AI),generative model (GD),Information Model (BIM),Information Modelling Technologies (TIM),Generative design,

Refference:

I. A. A. Lapidus, V. I. Telichenko, D. K. Tumanov et al., : “Development of methods of technology and organization of construction production to solve energy efficiency problems.” Technol. and organizat. of construct. Product. 2 10–6. (2014).
II. Agkathidis, Ast., : “Generative Design.”, 160, (2015).
III. A. Pakhtaeva, : “Generative design methods.”, Noema (Architecture. Urbanistics. Art). No. 2(7), pp.213-221. (2021).
IV. Bohnacker, H., Gross B., Laub J., Lazzeroni, : “Generative Gestaltung: Entwerfen, Programmieren, Visualisieren.”, Schmidt, Mainz : Generative Gestaltung (generative-gestaltung.de), C. (2009)
V. D.O. Fedchun, : “Comparative analysis of generative, parametric and informational architectural design methods.”, Scientific and practical Online journal “Bulletin of the FEFU School of Engineering”. No. 2(50), pp.103-114. (2018).
VI. Duffy, Alex, H.B., David C., Brown, Mary Lou Maher., : “ Special Issue: Machine learning in design // Artificial Intelligence for Engineering Design, Analysis and Manufacturing.”, 10(2), pp.81-82. (1996).
VII. Fakhratov Mukhammet, Sinenko Sergey, Akbari Mohammad, Asayesh Farid. : “Determination of fundamental criteria in the selection of a construction system.”, E3S, Web. Conf. “Energy Efficient Building Design”, Volume 157, (2020), Key Trends in Transportation Innovation, (KTTI-2019) : https://doi.org/10.1051/e3sconf/202015706025
VIII. Fakhratov M., Sinenko S., Akbari M., Asayesh F. : “ Determination of fundamental criteria in the selection of a construction system” : E3S Web of Conferences, Key Trends in Transportation Innovation, KTTI 2019. (2020). С. 06025.
IX. K. Wong, : “Optimize or Generate?”, Digital Engineering, (2021), : https://www.digitalengineering247.com/article/optimize-or-generate/
X. Krawczyk R. J., : “ Experiments in Architectural Form Generation Using Cellular Automata” , Illinois Institute of Technology, College of Architecture, USA, (2002).
XI. Krish, Sivam, : “A practical generative design method.”, Computer-Aided Design, 43 (1): hhtps:/88–100.doi:10.1016/j.cad.2010.09.009
XII. Meintjes, Keith, : “Generative Design” – What’s That? – CIMdata
XIII. PlanRadar.com: PlanRadar: BIM- technology in Russia and Europe
XIV. R. Berger, : “Digitization in the construction industry.”, Munich, pp. 1—15., (2016)
XV. Raina A., McComb, C., and Cagan, J. : “Learning to Design from Humans: Imitating Human Designers Through Deep Learning”, ASME. J. Mech. Des. (2019)
XVI. S. A. Sinenko, I. M. Savin, : “Digitalization of the activities of construction contractors. Construction production”, No. 2, pp.147 – 151. (2023)
XVII. S.A. Sinenko, : “Selection of Organizational and Technological Solutions for Construction.”, ISEES., (2020)
XVIII. S. A. Sinenko, S. A. Aliev, : “Visualization of process maps for construction and installation works.”, ISEES (2020)
XIX. Sinenko S. A., Doroshin I. N. : “Use of Modern Means and Methods in the Organization and Management in Construction.”, The International Conference on Materials Research and Innovation, (ICMARI), 16-18 December 2019, Bangkok, Thailand. 2020 IOP Conf. Ser.: Mater. Sci. Eng. 753 042017, https://doi.org/10.1088/1757-899X/753/4/042017
XX. Sinenko Sergey, Hanitsch Pavel, Aliev Sheroz, and Volovik Mikhail, : “The implementation of BIM in construction projects”, E3S Web Conf., Volume 164, (2020), Topical Problems of Green Architecture, Civil and Environmental Engineering, 2019, (TPACEE 2019), https://doi.org/10.1051/e3sconf/202016408002
XXI. Sinenko S. A., Poznakhirko T. Y., : “On the Description of a Universal Model of Project System”, International science and technology conference, “EarthScience”, IOP, Conf., Series:, Earth and Environmental Science, 459 (2020) 052051. IOP, Publishing, doi: 10.1088/1755-1315/459/5/052051
XXII. Sinenko S A., an,d Doroshin I. N., : “Economical Aspects of the Cost Regulation for the Construction of Buildings”, International Science and Technology Conference, (FarEastСon 2020) IOP, Conf., Series, : Materials Science and Engineering, 1079, (2021), 052066. IOP Publishing doi:10.1088/1757-899X/1079/5/052066
XXIII. T.S. Metellik, : “Generative design method and ways of its implementation in graphic design.”, Business and design review: journal. Vol. 1, No. 2(6), p.11. (2017)
XXIV. Vishnivetskaya A.I., T. H. Ablyazov, ; “Digital generation as a basis for the digital transformation of construction organizations.” Economics: yesterday, today, tomorrow. vol. 9, pp. 11-20. (2019)

Journal Vol – 19 No – 5, May 2024

EFFECT OF CRAB SHELL ASH (CSA) REINFORCEMENT ON SLIDING WEAR CHARACTERISTICS OF AL-7075 COMPOSITES

Authors:

E. V. Ratna Kumar G., K. Senthil kumar, J. A. Ranga Babu

DOI NO:

https://doi.org/10.26782/jmcms.2024.05.00002

admin May 10, 2024

Abstract:

This study examines the sliding wear behavior of aluminium 7075 composites supplemented with crab shell ash (CSA), a waste product from the seafood industry. The composites with different weight percentages of CSA (0%, 1%, 2%, and 3%) were created using the stir-casting procedure. Afterward, a pin-on-disc device was used to evaluate these composites under different sliding conditions. The primary aim of this research is to analyze the effects of CSA content and sliding parameters on composite wear performance. In the experiment, it was discovered that the stability of the composites differed depending on the amount of CSA that was present. The unreinforced aluminum 7075 alloy's wear resistance was enhanced with CSA particles, according to the data. Wear resistance is optimal at 3% CSA content and begins to decline somewhat above this concentration. As a contribution to sustainable material engineering, this study is significant since it improves metal matrix composites' properties by reusing waste materials. This research emphasizes the potential of using waste materials such as crab shell ash to enhance mechanical properties and wear resistance, to promote sustainability in material engineering approaches.

Keywords:

Aluminum 7075,Crab shell ash,Metal matrix composites,Sliding wear behavior,Stir casting,

Refference:

I. Alaneme KK, Adewale TM, Olubambi PA. Corrosion and wear behaviour of Al–Mg–Si alloy matrix hybrid composites reinforced with rice husk ash and silicon carbide. J Mat Res Technol. 2014;3:9-16.
II. Cai S, He Y, Song R. Study on the strengthening mechanism of two-stage double-peaks aging in 7075 aluminum alloy. Trans Indian Inst Met. 2020;73:109-17.
III. Ceschini L, Minak G, Morri A. Tensile and fatigue properties of the AA6061/20 vol% Al2O3p and AA7005/10 vol% Al2O3p composites. Compos Sci Technol. 2006;66:333-42.
IV. Das S. The influence of matrix microstructure and particle reinforcement on the two-body abrasive wear of an Al-Si alloy. J Mater Sci Lett. 1997;16:1757-60.
V. Devaganesh S, Kumar PD, Venkatesh N, Balaji R. Study on the mechanical and tribological performances of hybrid SiC-Al7075 metal matrix composites. J Mater Res Technol. 2020;9:3759-66.
VI. Dirisenapu G, Dumpala L, Reddy SP. Dry sliding tribological behavior of Al7010/B 4 C/BN hybrid metal matrix nanocomposites prepared by ultrasonic-assisted stir casting. Trans Indian Inst Met. 2020;74:149-158.
VII. Gopalakrishnan S, Murugan N. Production and wear characterisation of AA 6061 matrix titanium carbide particulate reinforced composite by enhanced stir casting method. Compos, Part B Eng. 2012;43:302-8.Budinski K.G, (1998). Surface Engg. For Wear Resistance, N.J, USA.
VIII. Ibrahim I, Mohamed F, Lavernia E. Particulate reinforced metal matrix composites: a review. J Mater Sci. 1991;26:1137-56.Chen Q and Li D. Y, (2003). Computer simulation of solid particle erosion, Wear, 254(3-4), pp.203-210.
IX. Kaczmar JW, Pietrzak K, Włosiński W. The production and application of metal matrix composite materials. J Mater Process Technol. 2000;106:58-67.
X. Kumar PSR, Madindwa MP. Investigation on tribological behaviour of aluminosilicate reinforced AA7075 composites for aviation application. Trans Indian Inst Met. 2020;74:79-88.
XI. Kumar S, Balasubramanian V. Developing a mathematical model to evaluate wear rate of AA7075/SiCp powder metallurgy composites. Wear. 2008;264:1026-34.
XII. Mangin CG, Isaacs JA, Clark JP. MMCs for automotive engine applications. JOM. 1996;48:49-51.
XIII. Mandal A, Chakraborty M, Murty B. Effect of TiB2 particles on sliding wear behaviour of Al–4Cu alloy. Wear. 2007;262:160-6.
XIV. Manoj M, Gadpale V. Synthesis, characterization and dry sliding wear behaviour of Al 7075–MoSi 2 composites prepared by stir casting technique. Trans Indian Inst Met. 2019;72:3153-69.
XV. Olszówka-Myalska A, Szala J, Cwajna J. Characterization of reinforcement distribution in Al/(Al2O3) p composites obtained from composite powder. Mater Charact. 2001;46:189-95.
XVI. Prasad S, Rohatgi P, Kosel T. Mechanisms of material removal during low stress and high stress abrasion of aluminum alloyzircon particle composites. Mater Sci Eng. 1986;80:213-20.
XVII. Sambathkumar M, Navaneethakrishnan P, Ponappa K, Sasikumar K. Mechanical and corrosion behavior of Al7075 (Hybrid) metal matrix composites by two step stir casting process. Lat Am J Solids Struct. 2017;14:243-55.
XVIII. Sardar S, Karmakar SK, Das D. Evaluation of abrasive wear resistance of Al 2 O 3/7075 composite by Taguchi experimental design technique. Trans Indian Inst Met. 2018;71:1847-58.
XIX. Sinclair I, Gregson P. Structural performance of discontinuous metal matrix composites. Mater Sci Technol. 1997;13:709-26.
XX. Zhu H, Wang H, Ge L. Wear properties of the composites fabricated by exothermic dispersion reaction synthesis in an Al–TiO2–B2O3 system. Wear. 2008;264:967-72.

Journal Vol – 19 No – 5, May 2024

ADVANCEMENTS IN SATELLITE COMMUNICATION SYSTEMS: CHALLENGES AND OPPORTUNITIES

Authors:

Basim Galeb, Haider Saad, Haitham Bashar, Kadhum Al-Majdi, Aqeel Al-Hilali

DOI NO:

https://doi.org/10.26782/jmcms.2024.05.00003

admin May 10, 2024

Abstract:

From its early days as a fledgling technology, satellite communication has come a long way to become a flourishing component of the global technological ecosystem that determines our increasingly interdependent world. This scholarly essay provides a comprehensive analysis of current developments in satellite communication technology and the several fields in which they might be applied. The essay dives into major inventions that have catapulted this discipline to unparalleled heights, and it spans from the historical origins to the modern accomplishments. This overview elucidates the enormous influence that satellite communication has had on modern civilization, highlighting its central position in allowing global connection, data dissemination, and transformational applications across a variety of industries.

Keywords:

GEO,ISL,LEO,MEO,Satellite communications,

Refference:

I. Abdulwahid, M. M., Al-Ani, O. A. S., Mosleh, M. F., & Abd-Alhmeed, R. A.. : ‘Optimal access point location algorithm-based real measurement for indoor communication’. In Proceedings of the International Conference on Information and Communication Technology. (2019, April) pp. 49-55.
II. Abdulwahid, M. M., Al-Ani, O. A. S., Mosleh, M. F., & Abd-Alhameed, R. A. : ‘Investigation of millimetre-wave indoor propagation at different frequencies’. In 2019 4th Scientific International Conference Najaf (SICN). IEEE.‏ (2019, April). pp. 25-30.
III. Abdulwahid, M. M., Al-Ani, O. A. S., Mosleh, M. F., & Abd-Alhameed, R. A. : ‘A Comparison between Different C-band and mm Wave band Frequencies for Indoor Communication’. J. Commun., 14(10), (2019). PP. 892-899.‏
IV. Abdulwahid, M. M., Al-Hakeem, M. S., Mosleh, M. F., & Abd-Ahmed, R. A. : ‘Investigation and optimization method for wireless AP deployment-based indoor network’. In IOP Conference Series: Materials Science and Engineering (Vol. 745, No. 1, p. 012031). IOP Publishing.‏ (2020, February).
V. Abdulwahid, M. M., & Kurnaz, S. : ‘The channel WDM system incorporates of Optical Wireless Communication (OWC) hybrid MDM-PDM for higher capacity (LEO-GEO) inter-satellite link’. Optik, 170449.‏ (2022).
VI. Abd-Alhameed, R. A., Abdulwahid, M. M., & Mosleh, M. F. : ‘Effects of Antenna Directivity and Polarization on Indoor Multipath Propagation Characteristics for different mm Wave frequencies’. Informatica 2(1). pp. 20-28 March 2021. 10.47812/IJAMECS2020104
VII. Almetwali, A. S., Bayat, O., Abdulwahid, M. M., & Mohamadwasel, N. B. : ‘Design and Analysis of 50 Channel by 40 Gbps DWDM-RoF System for 5G Communication Based on Fronthaul Scenario’. In Proceedings of Third Doctoral Symposium on Computational Intelligence. (2023). (pp. 109-122). Springer, Singapore.‏
VIII. Alhamadani, N. B., & Abdelwahid, M. M. : ‘Implementation of microstrip patch antenna using MATLAB’. Informatica: Journal of Applied Machines Electrical Electronics Computer Science and Communication Systems. 2(1), (2021). Pp. 29-35.‏
IX. Al-Quraan, M., Mohjazi, L., Bariah, L., Centeno, A., Zoha, A., Arshad, K., … & Imran, M. A. : ‘Edge-native intelligence for 6G communications driven by federated learning: A survey of trends and challenges’. Transactions on Emerging Topics in Computational Intelligence. IEEE 7(3). (2023). pp. 957-979. 10.1109/TETCI.2023.3251404
X. Beutler, G. : ‘GPS satellite orbits’. GPS for Geodesy, (2007). 37-101.
XI. Bi, Y., Han, G., Xu, S., Wang, X., Lin, C., Yu, Z., & Sun, P. : ‘Software defined space-terrestrial integrated networks: Architecture, challenges, and solutions’. IEEE Network, (2019). 33(1), 22-28.
XII. Bouabdellah, M., Illi, E., El Bouanani, F., & Alouini, M. S. : ‘Hybrid very high throughput satellites: Potential, challenges, and research directions’. In 2020 IEEE Eighth International Conference on Communications and Networking (ComNet). (2020, October). (pp. 1-6). IEEE.
XIII. Buddhikot, M. M., & Ryan, K. : ‘Spectrum management in coordinated dynamic spectrum access based cellular networks’. In First IEEE International Symposium on New Frontiers in Dynamic Spectrum Access Networks, 2005. DySPAN 2005. (2005, November). (pp. 299-307). IEEE.
XIV. Burhan, I. M., Al-Hakeem, M. S., Abdulwahid, M. M., & Mosleh, M. F. : ‘Investigating the Access Point height for an indoor IOT services. In IOP Conference Series: Materials Science and Engineering. Vol. 881, No. 1, (2020, July). p. 012116). IOP Publishing.‏
XV. Cave, M. (2002). Review of radio spectrum management. An independent review for Department of Trade and Industry and HM Treasury. http://web1.see.asso.fr/ICTSR1Newsletter/No004/RS%20Management%20-%202_title-42.pdf
XVI. Centenaro, M., Costa, C. E., Granelli, F., Sacchi, C., & Vangelista, L. : ‘A survey on technologies, standards and open challenges in satellite IoT’. IEEE Communications Surveys & Tutorials, 23(3), (2021). 1693-1720.
XVII. Chengoden, R., Victor, N., Huynh-The, T., Yenduri, G., Jhaveri, R. H., Alazab, M., … & Gadekallu, T. R. : ‘Metaverse for healthcare: A survey on potential applications, challenges and future directions’. IEEE Access. (2023).
XVIII. Chen, D., Zhang, J., & Zhao, R. : ‘Adaptive modulation and coding in satellite-integrated 5G communication system’. In 2021 IEEE 21st International Conference on Communication Technology (ICCT) (2021, October). (pp. 1402-1407). IEEE.
XIX. Cola, T. D., Tarchi, D., & Vanelli‐Coralli, A. : ‘Future trends in broadband satellite communications: information centric networks and enabling technologies’. International Journal of Satellite Communications and Networking, 33(5). (2015). Pp. 473-490.
XX. De Sanctis, M., Cianca, E., Araniti, G., Bisio, I., & Prasad, R. : ‘Satellite communications supporting internet of remote things’. IEEE Internet of Things Journal, 3(1), (2015). pp. 113-123.
XXI. Ding, R., Chen, T., Liu, L., Zheng, Z., Hao, Y., Zheng, H., … & You, L. (2020, October). 5G integrated satellite communication systems: architectures, air interface, and standardization. In 2020 International Conference on Wireless Communications and Signal Processing (WCSP) (pp. 702-707). IEEE.
XXII. Elbert, B. R. (2008). Introduction to satellite communication. Artech house.
XXIII. F. Abayaje, S. A. Hashem, H. S. Obaid, Y. S. Mezaal, and S. K. Khaleel, “A miniaturization of the UWB monopole antenna for wireless baseband transmission,” Periodicals of Engineering and Natural Sciences, vol. 8, no. 1, pp. 256-262, 2020.
XXIV. Fenech, H., Tomatis, A., Amos, S., Soumpholphakdy, V., & Serrano-Velarde, D. (2012, October). Future high throughput satellite systems. In 2012 IEEE First AESS European Conference on Satellite Telecommunications (ESTEL) (pp. 1-7). IEEE.
XXV. Fenech, H., Amos, S., Tomatis, A., & Soumpholphakdy, V. (2015). High throughput satellite systems: An analytical approach. IEEE Transactions on Aerospace and Electronic Systems, 51(1), 192-202.
XXVI. Fossa, C. E., Raines, R. A., Gunsch, G. H., & Temple, M. A. (1998, July). An overview of the IRIDIUM (R) low Earth orbit (LEO) satellite system. In Proceedings of the IEEE 1998 National Aerospace and Electronics Conference. NAECON 1998. Celebrating 50 Years (Cat. No. 98CH36185) (pp. 152-159). IEEE.
XXVII. Fourati, F., & Alouini, M. S. (2021). Artificial intelligence for satellite communication: A review. Intelligent and Converged Networks, 2(3), 213-243.
XXVIII. Fraire, J. A., Céspedes, S., & Accettura, N. (2019, September). Direct-to-satellite IoT-a survey of the state of the art and future research perspectives: Backhauling the IoT through LEO satellites. In International Conference on Ad-Hoc Networks and Wireless (pp. 241-258). Cham: Springer International Publishing.
XXIX. Gaber, A., ElBahaay, M. A., Mohamed, A. M., Zaki, M. M., Abdo, A. S., & AbdelBaki, N. (2020, October). 5G and satellite network convergence: Survey for opportunities, challenges and enabler technologies. In 2020 2nd Novel Intelligent and Leading Emerging Sciences Conference (NILES) (pp. 366-373). IEEE.
XXX. Gao, S., Cao, W., Fan, L., & Liu, J. (2019). MBSE for satellite communication system architecting. IEEE access, 7, 164051-164067.
XXXI. Gibson, J. D. (Ed.). (2018). The communications handbook. CRC press.
XXXII. Guidotti, A., Cioni, S., Colavolpe, G., Conti, M., Foggi, T., Mengali, A., … & Vanelli-Coralli, A. (2020). Architectures, standardisation, and procedures for 5G Satellite Communications: A survey. Computer Networks, 183, 107588.
XXXIII. H. A. Hussein, Y. S. Mezaal, and B. M. Alameri, “Miniaturized microstrip diplexer based on FR4 substrate for wireless communications,” Elektron. Ir Elektrotech., 2021.
XXXIV. Huang, J., Su, Y., Liu, W., & Wang, F. (2016). Adaptive modulation and coding techniques for global navigation satellite system inter‐satellite communication based on the channel condition. Iet Communications, 10(16), 2091-2095.
XXXV. J. Ali and Y. Miz’el, “A new miniature Peano fractal-based bandpass filter design with 2nd harmonic suppression 3rd IEEE International Symposium on Microwave,” Antenna, Propagation and EMC Technologies for Wireless Communications, Beijing, China, 2009.

XXXVI. Jamal, S. A., Ibrahim, A. A., Abdulwahid, M. M., & Wasel, N. B. M. Design and implementation of multilevel security-based home management system.‏ International Journal of Advanced Trends in Computer Science and Engineering. Vol. 9 (4), (2020), pp. 5716-5720. doi.org/10.30534/ijatcse/2020/224942020
XXXVII. Jono, T., Takayama, Y., Shiratama, K., Mase, I., Demelenne, B., Sodnik, Z., … & Arai, K. (2007, February). Overview of the inter-orbit and the orbit-to-ground laser communication demonstration by OICETS. In Free-Space Laser Communication Technologies XIX and Atmospheric Propagation of Electromagnetic Waves (Vol. 6457, pp. 9-18). SPIE.
XXXVIII. Khanna, P. (2016). Connectography: Mapping the future of global civilization. Random House.
XXXIX. Kodheli, O., Lagunas, E., Maturo, N., Sharma, S. K., Shankar, B., Montoya, J. F. M., … & Goussetis, G. (2020). Satellite communications in the new space era: A survey and future challenges. IEEE Communications Surveys & Tutorials, 23(1), 70-109.
XL. Kolawole, M. O. (2017). Satellite communication engineering. CRC Press.
XLI. Kolenkiewicz, R., & Fuchs, A. J. (1980). An overview of earth satellite orbit determination. Astrodynamics, 3-20.
XLII. Kua, J., Loke, S. W., Arora, C., Fernando, N., & Ranaweera, C. (2021). Internet of Things in Space: A Review of opportunities and Challenges from satellite-aided computing to digitally-enhanced Space Living. Sensors, 21(23), 8117.
XLIII. Lee, D., Sun, Y. G., Sim, I., Kim, J. H., Shin, Y., Kim, D. I., & Kim, J. Y. (2021). Neural episodic control-based adaptive modulation and coding scheme for inter-satellite communication link. IEEE Access, 9, 159175-159186.
XLIV. Levchenko, I., Bazaka, K., Ding, Y., Raitses, Y., Mazouffre, S., Henning, T., … & Xu, S. (2018). Space micropropulsion systems for Cubesats and small satellites: From proximate targets to furthermost frontiers. Applied Physics Reviews, 5(1).
XLV. LI, Z., SONG, C., YU, C., XIAO, R., CHEN, L., LUO, H., … & ZHANG, Q. (2019). Application of satellite radar remote sensing to landslide detection and monitoring: challenges and solutions. 武汉大学学报 (信息科学版), 44(7), 967-979.
XLVI. Lutz, E., Bischl, H., Ernst, H., David, F., Holzbock, M., Jahn, A., & Werner, M. (2005). Development and future applications of satellite communications. Emerging Location Aware Broadband Wireless Ad Hoc Networks, 231-246.
XLVII. Matinmikko-Blue, M., Yrjölä, S., & Ahokangas, P. (2020, March). Spectrum management in the 6G era: The role of regulation and spectrum sharing. In 2020 2nd 6G Wireless Summit (6G SUMMIT) (pp. 1-5). IEEE.
XLVIII. Muri, P., & McNair, J. (2012). A survey of communication sub-systems for intersatellite linked systems and cubesat missions. J. Commun., 7(4), 290-308.
XLIX. Mohsen, D. E., Abbas, E. M., & Abdulwahid, M. M. (2022, June). Design and Implementation of DWDM-FSO system for Tbps data rates with different atmospheric Attenuation. In 2022 International Congress on Human-Computer Interaction, Optimization and Robotic Applications (HORA) (pp. 1-7). IEEE.‏
L. Mohsen, D. E., Abbas, E. M., & Abdulwahid, M. M. (2023). Performance Analysis of OWC System based (S-2-S) Connection with Different Modulation Encoding. International Journal of Intelligent Systems and Applications in Engineering, 11(4s), 400-408.
LI. M. Kh, “Cybercrime Challenges in Iraqi Academia: Creating Digital Awareness for Preventing Cybercrimes,” International Journal of Cyber Criminology, vol. 16, no. 2, pp. 1–14, 2022.
LII. M. S. Jameel, Y. S. Mezaal, and D. C. Atilla, “Miniaturized coplanar waveguide-fed UWB Antenna for wireless applications,” Symmetry, vol. 15, no. 3, p. 633, 2023.
LIII. M. S. Shareef et al., “Cloud of Things and fog computing in Iraq: Potential applications and sustainability,” Heritage and Sustainable Development, vol. 5, no. 2, pp. 339–350, 2023.
LIV. M. Q. Mohammed, “HARNESSING CLOUD OF THING AND FOG COMPUTING IN IRAQ: ADMINISTRATIVE INFORMATICS SUSTAINABILITY,” Journal of Mechanics of Continua and Mathematical Sciences, vol. 19, no. 2, pp. 66–78, 2024.
LV. Peha, J. M. (1998). Spectrum management policy options. IEEE Communications Surveys, 1(1), 2-8.
LVI. Rossi, T., De Sanctis, M., Cianca, E., Fragale, C., Ruggieri, M., & Fenech, H. (2015, September). Future space-based communications infrastructures based on high throughput satellites and software defined networking. In 2015 IEEE International Symposium on Systems Engineering (ISSE) (pp. 332-337). IEEE.
LVII. Sharma, S. K., Borras, J. Q., Maturo, N., Chatzinotas, S., & Ottersten, B. (2020). System modeling and design aspects of next generation high throughput satellites. IEEE Communications Letters, 25(8), 2443-2447.
LVIII. Smith III, M. L. (1986). The orbit/spectrum resource and the technology of satellite telecommunications: an overview. Rutgers Computer & Tech. LJ, 12, 285.
LIX. Sodnik, Z., Furch, B., & Lutz, H. (2010). Optical intersatellite communication. IEEE journal of selected topics in quantum electronics, 16(5), 1051-1057.
LX. Stodden, D. Y., & Galasso, G. D. (1995, February). Space system visualization and analysis using the Satellite Orbit Analysis Program (SOAP). In 1995 IEEE Aerospace Applications Conference. Proceedings (Vol. 1, pp. 369-387). IEEE.
LXI. S. A. Abdulameer, “Security Readiness in Iraq: Role of the Human Rights Activists,” International Journal of Cyber Criminology, vol. 16, no. 2, pp. 1–14, 2022.
LXII. S. I. Yahya et al., “A New Design Method for Class-E Power Amplifiers Using Artificial Intelligence Modeling for Wireless Power Transfer Applications,” Electronics, vol. 11, no. 21, p. 3608, 2022.
LXIII. S. Roshani et al., “Design of a compact quad-channel microstrip diplexer for L and S band applications,” Micromachines (Basel), vol. 14, no. 3, 2023.
LXIV. Tang, Q., Fei, Z., Li, B., & Han, Z. (2021). Computation offloading in LEO satellite networks with hybrid cloud and edge computing. IEEE Internet of Things Journal, 8(11), 9164-9176.
LXV. Tedeschi, P., Sciancalepore, S., & Di Pietro, R. (2022). Satellite-based communications security: A survey of threats, solutions, and research challenges. Computer Networks, 216, 109246.
LXVI. Tolker-Nielsen, T., & Oppenhauser, G. (2002, April). In-orbit test result of an operational optical intersatellite link between ARTEMIS and SPOT4, SILEX. In Free-space laser communication technologies XIV (Vol. 4635, pp. 1-15). SPIE.
LXVII. T. Abd, Y. S. Mezaal, M. S. Shareef, S. K. Khaleel, H. H. Madhi, and S. F. Abdulkareem, “Iraqi e-government and cloud computing development based on unified citizen identification,” Periodicals of Engineering and Natural Sciences, vol. 7, no. 4, pp. 1776–1793, 2019.
LXVIII. Withers, D. J. (1993). Radio spectrum management. In Telecommunications Engineer’s Reference Book (pp. 26-1). Butterworth-Heinemann.
LXIX. Y. S. Mezaal, Eyyuboglu, H. T., & Ali, J. K. Wide bandpass and narrow bandstop microstrip filters based on Hilbert fractal geometry: design and simulation results. PloS one, 9(12), e115412, 2014.
LXX. Y. S. Mezaal and H. T. Eyyuboglu, “A new narrow band dual-mode microstrip slotted patch bandpass filter design based on fractal geometry,” in 2012 7th International Conference on Computing and Convergence Technology (ICCCT), 2012: IEEE, pp. 1180-1184.
LXXI. Y. S. Mezaal, and J. K. Ali, “A new design of dual band microstrip bandpass filter based on Peano fractal geometry: Design and simulation results,” presented at the 2013 13th Mediterranean Microwave Symposium (MMS), 2013.
LXXII. Y. S. Mezaal, H. H. Saleh, and H. Al-Saedi, “New compact microstrip filters based on quasi fractal resonator,” Advanced Electromagnetics, vol. 7, no. 4, pp. 93-102, 2018.
LXXIII. Y. S. Mezaal and S. F. Abdulkareem, “New microstrip antenna based on quasi-fractal geometry for recent wireless systems,” in 2018 26th Signal Processing and Communications Applications Conference (SIU), 2018: IEEE, pp. 1-4.
LXXIV. Y. S. Mezaal et al., “Cloud computing investigation for cloud computer networks using cloudanalyst,” Journal of Theoretical and Applied Information Technology, vol. 96, no. 20, 2018.
LXXV. Zaal, R. M., Mosleh, M. F., Abbas, E. I., & Abdulwahid, M. M. (2020, September). Optimal Coverage Area with Lower Number of Access Point. In IMDC-SDSP 2020: Proceedings of the 1st International Multi-Disciplinary Conference Theme: Sustainable Development and Smart Planning, IMDC-SDSP (p. 230).‏
LXXVI. Zaal, R. M., Mustafa, F. M., Abbas, E. I., Mosleh, M. F., & Abdulwahid, M. M. (2020, July). Real measurement of optimal access point localizations. In IOP Conference Series: Materials Science and Engineering (Vol. 881, No. 1, p. 012119). IOP Publishing.‏