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

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.