Semi-analytical approach to initial problems for systems of nonlinear partial differential equations with constant delay

Abstract

This paper deals with the differential transform method for solving of an initial value problem for a system of two nonlinear functional partial differentialequations of parabolic type. We consider non-delayed as well as delayed types of coupling andthe different variety of initial functions are thought over. Theconvergence of solutions and the error estimation to the presentedprocedure is studied. Two numerical examples for non-delayed anddelayed systems are included.