A high order robust numerical scheme for singularly perturbed delay parabolic convection diffusion problems

Abstract

In this paper, a robust non standard numerical scheme has been analysed for singularly perturbed parabolic convection-diffusion problems with time delay. The numerical scheme comprises of implicit Euler method, Richardson extrapolation technique and non standard techniques developed by Mickens. Parameter uniform estimates for stability and consistency have been proved. Numerical experiments have been carried out to corroborate the theoretical results.