CUBIC SPLINE APPROXIMATION METHOD FOR PERIODIC SINGULAR PERTURBATION PROBLEM

Print ISSN: 0972-7752 | Online ISSN: 2582-0850

Volume : 21 , Issue : Proceedings
Author :
A. Puvaneswari (Department of Mathematics, University College of Engineering (BIT Campus) Anna University, Tiruchirappalli - 620024, Tamil Nadu, INDIA)
T. Valanarasu (Department of Mathematics, Government Arts and Science College, Perambalur - 621107, Tamil Nadu, INDIA)

Abstract

A class of singularly perturbed boundary value problems with periodic boundary conditions is investigated in this study. To handle this problem, a numerical solution using a cubic spline scheme and non-uniform meshes is proposed, with the system being found to be second order accurate in the maximum norm.

Keywords and Phrases

Singular perturbation, Periodic conditions, Variable mesh, Cubic spline scheme, Layers.

A.M.S. subject classification

65L10, 65L11, 65L60.

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