Solutions to the non-homogeneous parabolic problems by the extended HADM

Abstract

In this paper, we extend the homogeneous Adomain decomposition method (HADM) introduced by Jang [Bongsoo Jang, Exact solutions to one-dimensional non-homogeneous parabolic problems by the homogeneous decomposition method, Appl. Math. Comput. 186 (2) (2007) 969-979] to solve non-homogeneous parabolic partial differential equations with variable coefficients. The new modified technique provides the less computational work as well as easy calculation in obtaining the accurate approximations compared with the standard ADM. Illustrative examples show the excellent performance for the new modified decomposition method.