Kragujevac J. Math. 26 (2004) 153-164.
Mustafa Inc
Department of Mathematics, Firat University, 23119 Elazig Turkiye
(e-mail:minc@firat.edu.tr)
Abstract. We present a reliable algorithm for solving one-dimensional system of nonlinear partial differential equations. We investigate the numerical solution of this problem by using Adomian decomposition method (ADM). The solution is calculated in the form of a series with easily computable components. We prove the convergence of the ADM applied to nonlinear heat equation. Numerical experiments are presented for a set of nonlinear problems from the literature.