FITTED MESH METHOD FOR SINGULARLY PERTURBED DELAY DIFFERENTIAL TURNING POINT PROBLEMS EXHIBITING TWIN BOUNDARY LAYERS

In this paper, a class of linear second order singularly perturbed delay differential turning point problems containing a small delay (or negative shift) on the reaction term and when the solution of the problem exhibits twin boundary layers are examined. A hybrid finite difference scheme on an appropriate piecewise-uniform Shishkin mesh is constructed to discretize the problem. We proved that the method is almost second order epsilon-uniformly convergent in the maximum norm. Numerical experiments are considered to illustrate the theoretical results.