Interior Layers in Coupled System of Two Singularly Perturbed Reaction-Diffusion Equations with Discontinuous Source Term

被引：0

作者：

Rao, S. Chandra Sekhara ^{[1
]}

Chawla, Sheetal ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Math, New Delhi 110016, India

来源：

NUMERICAL ANALYSIS AND ITS APPLICATIONS, NAA 2012 | 2013年 / 8236卷

关键词：

Singular perturbation; Coupled system; Discontinuous source term; Uniformly convergent; Shishkin mesh; Interior layers; NUMERICAL-METHOD; COEFFICIENT;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We study a coupled system of two singularly perturbed linear reaction-diffusion equations with discontinuous source term. A central difference scheme on layer-adapted piecewise-uniform mesh is used to solve the system numerically. The scheme is proved to be almost first order uniformly convergent, even for the case in which the diffusion parameter associated with each equation of the system has a different order of magnitude. Numerical results are presented to support the theoretical results.

引用

页码：445 / 453

页数：9

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