Parameter Uniform Method for a Singularly Perturbed System of Delay Differential Equations of Reaction–Diffusion Type with Integral Boundary Conditions

A class of singularly perturbed systems of delay differential equations of reaction–diffusion type with integral boundary conditions is considered. A finite difference scheme on an appropriate piecewise Shishkin mesh is suggested to solve the problem. We prove that the finite difference method is of almost first order convergence. Error estimates are derived in the discrete maximum norm. Numerical experiments support the theoretical results.