The combined Laplace transform-differential transform method for solving linear non-homogeneous PDEs

Abstract

In this work, a combined form of the Laplace transform method with the differential transform method will be used to solve non-homogeneous linear partial differential equations. The combined method is capable of handling non-homogeneous linear partial differential equations with variable coefficient. The aim of using the Laplace transform is to overcome the deficiency that is caused by unsatisfied boundary conditions in using differential transform method. Illustrative examples will be examined to support the proposed analysis.