Recent Modifications of Adomian Decomposition Method for Initial Value Problem in Ordinary Differential Equations

M. Almazmumy, F. A. Hendi, H. O. Bakodah, H. Alzumi

Department of Mathematics, Science Faculty for Girls, King Abdulaziz University, Jeddah, KSA.

DOI: 10.4236/ajcm.2012.23030                

Abstract

In this paper, some modifications of Adomian decomposition method are presented for solving initial value problems in ordinary differential equations. Also, the restarted and two-step methods are applied to the problem. The effectiveness of the each modified is verified by several examples.

Keywords

Adomian Decomposition Method; Initial Value Problem; Modified Adomian Decomposition Method

Conflicts of Interest

The authors declare no conflicts of interest.

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