Adomian Decomposition Method with different polynomials for nonlinear Klein Gordon equation and a system of nonlinear partial differential equations

Abstract

In this paper the Adomian Decomposition Method (ADM) with modified polynomial [1] is applied for nonlinear models, first we apply it for solving nonlinear partial differential equation (Klein Gordon equation with a quadratic non-linear term), then we discussed the solution of system of nonlinear partial differential equations with this modification. The numerical results obtained by this polynomial have been compared with numerical results in [2] and [3] to show the efficiency in applications.