Second order difference scheme for singularly perturbed boundary turning point problems

Document Type : Research Article

Authors

Department of Mathematics, Bharathidasan University, Tiruchirappalli 620 024, Tamilnadu, India

Abstract

A  singularly perturbed convection diffusion  equation with boundary  turning point  is considered in this paper. A higher order method on piecewise uniform Shishkin mesh is suggested to solve this problem. We  prove that this method is of  order O(N−2(ln⁡N)2). Numerical results are given which validate  the analytical results.

Keywords

Journal of Mathematical Modeling
Volume 9, Issue 4
December 2021
Pages 633-643

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