Uniform convergence of a weighted average scheme for a nonlinear reaction-diffusion problem

被引：13

作者：

Boglaev, Igor

Hardy, Matthew

机构：

[1] Massey Univ, Inst Fundamental Sci, Palmerston North, New Zealand

[2] Australian Natl Univ, Inst Math Sci, Canberra, ACT 0200, Australia

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2007年 / 200卷 / 02期

关键词：

parabolic reaction-diffusion problem; boundary layers; weighted average scheme; uniform convergence;

D O I：

10.1016/j.cam.2006.01.026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with a weighted average scheme (or theta-scheme) for solving a nonlinear singularly perturbed parabolic reaction-diffusion problem. The uniform convergence of the weighted average scheme on piecewise uniform and log-meshes is established. Numerical experiments are presented. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：705 / 721

页数：17

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