Second Order Numerical Technique for Singularly Perturbed Delay Differential Equations of Reaction Diffusion Type with Small Shift

Abstract In this paper,we propose a finite difference scheme to solve singularly perturbed delay differential equation of reaction-diffusion type with small shift. The scheme derived is almost second order accurate. To evaluate its effectiveness, several test examples with varying perturbation and delay parameter are considered. The proposed scheme is compared with the results of other existing numerical schemes. Error estimate and the rate of convergence are shown in the tables for proposed numerical scheme.