Journal of Advances in Mathematics and Computer Science

Abstract

This paper considers the Differential Transform Method (DTM) for solving partial differential equations. The two-dimensional form of the method is used to solve a linear partial differential equation, a linearised version of the Korteweg-de Vries equation. The solutions are verified by solving the same equation using the Adomian Decomposition Method (ADM). The results also show that the DTM is much simpler to apply than the ADM.