Robust numerical methods for singularly perturbed parabolic pdes with interior and boundary layers

Abstract

This thesis provides some uniformly convergent numerical methods for solving singularly perturbed convection diffusion problems with boundary or and interior layers A differential equation becomes singularly perturbed when a small parameter is multiplying with the highest order derivative The solutions of these types of problems exhibit thin boundary or and interior layers when the small parameter tends to zero Because of layer appearing in the solution the classical numerical method on the