A second order uniformly convergent numerical scheme for parameterized singularly perturbed delay differential problems

Abstract

In this work, we propose a hybrid difference scheme for solving parameterized singularly perturbed delay differential problems. A unified error analysis framework for the proposed hybrid scheme is given that allows to conclude uniform convergence of (N− 2ln 2 N) on Shishkin meshes and (N− 2) on Bakhvalov meshes, where N is the number of mesh intervals in the domain. Numerical results are included to confirm the theoretical estimates. © 2016, Springer Science+Business Media New York.