Adomian homotopy method

Abstract

In this paper, a new method, Adomian homotopy method, is proposed. The method cou
ples the Adomian decomposition and the homotopy perturbation methods for fast and 
effective results. Complications involving the application of the two methods are avoided 
using the new technique. Nonlinear differential equations are utilized to highlight the 
effectiveness and applicability of the method.