First Order Parameter Uniform Numerical Method for a System of Two Singularly Perturbed Delay Differential Equations with Robin Initial Conditions

Abstract

In this paper, an IVP for a system of two singularly perturbed delay differential equations with Robin initial conditions is considered. A Shishkin piecewise uniform mesh is implemented and combined with a classical finite difference method to create a numerical method for solving this problem. The numerical approximations obtained are essentially first order convergence uniformly with respect to the singular perturbation parameters. Numerical result is provided in support of the theory.