Numerical treatment of singularly perturbed delay reaction-diffusion equations

Abstract

This paper presents a uniform convergent numerical method for solving singularly perturbed delay reaction-diffusion equations. The stability and convergence analysis are investigated. Numerical results are tabulated and the effect of the layer on the solution is examined. In a nutshell, the present method improves the findings of some existing numerical methods reported in the literature.

Keywords: Singularly perturbed, Time delay, Reaction-diffusion equation, Layer