October 2014

A study of some systems of nonlinear partial differential equations by using Adomian and modified decomposition methods

In this paper, we introduce the solution of systems of nonlinear partial differential equations subject to the general initial conditions by using Adomian decomposition method (ADM) and Modified decomposition method (MDM). The proposed Adomian and Modified decomposition methods was applied to reformulated first and second order initial value problems, which leads the solution in terms of transformed variables, and the...

Author(s): Mohammed E. A. Rabie, and Tarig M. Elzaki