Non-polynomial spline solution of one dimensional singularly perturbed parabolic equations

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Keywords:

Two-parameter singularly perturbed problems; Nonpolynomial splines; Stability analysis

Abstract

In this paper, two-parameter singularly perturbed parabolic equations are examined by two level method using non-polynomial spline. We have used non-polynomial quadratic spline in space and finite difference discretization in time. Stability analysis is carried out. The approximate solution is shown to converge point-wise to the true solution. Numerical solution of singularly perturbed parabolic equations consisting of linear as well as non-linear has been solved. Three numerical examples are presented to show the efficiency and effectiveness of the developed method

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Published

2022-10-03

How to Cite

Shahna, Talat Sultana, & Arshad Khan. (2022). Non-polynomial spline solution of one dimensional singularly perturbed parabolic equations. Journal of Computational Analysis and Applications (JoCAAA), 30(2), 312–322. Retrieved from http://eudoxuspress.com/index.php/pub/article/view/120

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