A Numerical Scheme for Semilinear Singularly Perturbed Reaction-Diffusion Problems

Abstract

In this study we investigated the singularly perturbed boundary value problems for semilinear reaction-difussion equations. We have introduced a basic and computational approach scheme based on Numerov's type on uniform mesh. We indicated that the method is uniformly convergence, according to the discrete maximum norm, independently of the parameter of epsilon. The proposed method was supported by numerical example.