Special Issue No. – 11, May 2024

Abstract:

In this paper, we are examining He’s polynomial method for solving (1+1)- dimensional and (2+1)-dimensional heat-like equations that arise in various diffusion processes. The absolute error is calculated from the exact solution and numerical solution by taking different iterations of the He’s polynomial. This method is also called the homotopy perturbation method (HPM). The nonlinear terms can be easily handled by the use of He’s polynomials. The proposed scheme finds the solution without any discretization or restrictive assumptions and avoids round-off errors. Some examples are given to show the efficiency and accuracy of the He’s polynomial used to solve Heat-like equations.

Keywords:

Boundary Conditions,Error Analysis,He’s Polynomial,Heat Equations,Nonlinear Terms,Homotopy ,Perturbation Method,

Refference:

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XIX. S. T. Mohyud-Din, M. A. Noor, and K. I. Noor. : ‘Homotopy perturbation method for unsteady flow of gas through a porous medium’. International Journal of Modern Physics B. In press.
XX. S. T. Mohyud-Din, M. A. Noor, and K. I. Noor. : ‘On the coupling of polynomials with correction functional’. International Journal of Modern Physicss B. In press.

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Abstract:

India is a developing country in terms of both technology and infrastructure. Since India is already pursuing its research in 5G and is already using the 4G network, but the problem that Indian citizens have with the current mobile network infrastructure can’t be properly solved even by the upcoming 5G, so here we need to think about why we are talking about 6G in such an early stage. Not only because of the great network bandwidth and low latency of the features of 6G, or why we say that 6G will be a game changer for Indian mobile network infrastructure because of features like maximum spectral efficiency that’s up to 1000 km/hours and peak data rate that’s up to 1 Tbps, which is twice that of 5G and nearly quadruple that of 4G. In this paper, we discussed what the main advantages are. What are the problems faced by Indians, why these problems are caused, and how 6G can solve them? We also provide the questions that we asked the people (mainly the youth of India). In addition, our paper also suggests a project idea that provides a technological solution to teachers’ and professors’ wasted time at schools or colleges attending this conference

Keywords:

High-Performance Computing (HPC) Nexus,Internet of Things (IOT),MIMO,6^TH Generation,Low Latency,Network Bandwidth,

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