A hybrid difference scheme for a singularly perturbed convection-diffusion problem with discontinuous convection coefficient

被引：46

作者：

Cen, ZD ^{[1
]}

机构：

[1] Zhejiang Univ, Dept Math, Hangzhou 310028, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 169卷 / 01期

基金：

中国国家自然科学基金;

关键词：

convection diffusion; singularly perturbed; hybrid difference scheme; Shishkin mesh;

D O I：

10.1016/j.amc.2004.08.051

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A Singularly perturbed convection diffusion problem with a discontinuous convection coefficient is considered. Due to the discontinuity an interior layer appears in the solution. The problem is solved using a hybrid difference scheme on a Shishkin mesh. We prove that the method is almost second-order convergent in the maximum norm, independently of the diffusion parameter. Numerical experiments Support these theoretical results and indicate that the estimates are sharp. (c) 2004 Published by Elsevier Inc.

引用

页码：689 / 699

页数：11