Numerical analysis of singularly perturbed nonlinear reaction-diffusion problems with multiple solutions

被引：12
|
作者：
Stynes, M. [1 ]
Kopteva, N.
机构：
[1] Natl Univ Ireland Univ Coll Cork, Dept Math, Cork, Ireland
[2] Univ Limerick, Dept Math & Stat, Limerick, Ireland
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2006年 / 51卷 / 05期
关键词：
nonlinear; reaction-diffusion; boundary layer; interior transition layer; layer-adapted mesh;
D O I：
10.1016/j.camwa.2006.03.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Semi linear reaction-diffusion two-point boundary value problems with multiple solutions are considered. Here the second-order derivative is multiplied by a small positive parameter and consequently these solutions can have boundary or interior layers. A survey is given of the results obtained in our recent investigations into the numerical solution of these problems on layer-adapted meshes. (C) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码：857 / 864
页数：8
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