Authors:
Kulbhushan Singh,DOI NO:
https://doi.org/10.26782/jmcms.2019.08.00044Keywords:
Cauchy Initial Value Problem,Lacunary Interpolation,Spline function,Abstract
In the present paper a special lacunary interpolation problem is solved in which function value, first derivatives and fourth derivatives are prescribed at nodes of the unit interval I = [0, 1]. A special spline function is obtained for it. Then the theorem of unique existence and convergence for this spline function are proved. In our next communication we will show that this special function can be used to solve Cauchy’s Initial value problem.Refference:
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