On the two-dimensional differential transform method

Abstract

In this paper, two-dimensional differential transform method of solution of the initial value problem for partial differential equations (PDEs) have been studied. New theorems have been added and some linear and nonlinear PDEs solved by using this method. The method can be easily applied to linear or nonlinear problems and is capable of reducing the size of computational work. In this work, additionally, analytical form solutions of two diffusion problems have been obtained and the solutions are compared very well with those obtained by decomposition method.