ROBUSTNESS OF AN UPWIND FINITE DIFFERENCE SCHEME FOR SEMILINEAR CONVECTION-DIFFUSION PROBLEMS WITH BOUNDARY TURNING POINTS

被引：0
|
作者：
Torsten Linfi (Institut fur Numerische Mathematik
机构：
来源：
Journal of Computational Mathematics | 2003年 / 04期
关键词：
Convection-diffusion; Singular perturbation; Solution decomposition; Shishkin mesh;
D O I：
暂无
中图分类号：
O241.4 [数值积分法、数值微分法];
学科分类号：
070102 ;
摘要：
We consider a singularly perturbed semilinear convection-diffusion problem with a boundary layer of attractive turning-point type. It is shown that its solution can be decomposed into a regular solution component and a layer component. This decomposition is used to analyse the convergence of an upwinded finite difference scheme on Shishkin meshes.
引用
收藏
页码：401 / 410
页数：10
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