Parameter uniform numerical methods for singularly perturbed delay parabolic partial differential equations

Abstract

The primary interest of this thesis is to provide some efficient numerical techniques for solving singularly perturbed delay parabolic initial boundary value problems IBVPs in one and two dimensions These types of problems are described by partial differential equations PDEs in which the highest order derivative is multiplied by an arbitrarily small parameter 206 181 and contain at least one delay term Due to the parameter 206 181 the solution of such equation exhibits a thin layer where the soluti