Application Of Adomian’s Decomposition Method In Solving Nonlinear Partial Differential Equations

Abstract

The Adomian’s decomposition method is a powerful method which considers the approximate solution of a nonlinear equation as an infinite series usually converging to the accurate solution. It is shown in literature that Adomian’s decomposition method gives better results than any other computational techniques. We use this method to tackle simple heat equation and compare the result with the closed form solution of the giving problem.

Keywords: Adomian decomposition method; accuracy; nonlinear equation; closed form solution.