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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:200

Article

Boglaev, Igor ; Hardy, Matthew

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

DOI  :  10.1016/j.cam.2006.01.026

来源: Elsevier

【 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.

【 授权许可】

Free