A numerical method for a system of singularly perturbed reaction-diffusion equations

被引：80

作者：

Matthews, S

O'Riordan, E ^{[1
]}

Shishkin, GI

机构：

[1] Dublin City Univ, Sch Math Sci, Dublin, Ireland

[2] Russian Acad Sci, Inst Math & Mech, Ekaterinburg, Russia

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2002年 / 145卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

system; reaction-diffusion; singular perturbation; parameter-uniform;

D O I：

10.1016/S0377-0427(01)00541-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A Dirichlet problem for a system of two coupled singularly perturbed reaction-diffusion ordinary differential equations is examined. A numerical method whose solutions converge pointwise at all points of the domain independently of the singular perturbation parameters is constructed and analysed. Numerical results are presented, which illustrate the theoretical results. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：151 / 166

页数：16

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