Parameter Uniform Numerical Method for a Weakly Coupled System of Second Order Singularly Perturbed Turning Point Problem with Robin Boundary Conditions

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• 作者：N. Geetha ; A. Tamilselvan ; ^{mathats@bdu.ac.in" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Singularly perturbed turning point problems ; Boundary value problems ; Finite difference scheme ; Shishkin mesh ; Parameter uniform ; Robin boundary conditions
• 刊名：Procedia Engineering
• 出版年：2015
• 出版时间：2015
• 年：2015
• 卷：127
• 期：Complete
• 页码：670-677
• 全文大小：208 K

文摘

In this paper, a parameter uniform numerical method for a weakly coupled system of two second order singularly perturbed turning point problems with Robin boundary conditions is presented. It is assumed that both equations have a turning point at the same point. An appropriate piecewise uniform mesh is considered and a classical finite difference scheme is applied on this mesh. An error estimate is derived by using supremum norm and it is of order O(N⁻¹lnN). Numerical examples are given which validate theoretical results.