A modified adomian decomposition method for solving higher-order singular boundary value problems

Abstract

In this paper, we present a reliable modification of the Adomian decomposition method for solving higher-order singular boundary value problems. He's polynomials are also used to overcome the complex and difficult calculation of Adomian polynomials occurring in the application of the Adomian decomposition method. Numerical examples are given to illustrate the accuracy and efficiency of the presented method, revealing its reliability and applicability in handling the problems with singular nature. © 2010 Verlag der Zeitschrift für Naturforschung, Tübingen.