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H. Alzumi, F. A. Hendi, H. O. Bakodah and M. Almazmumy, Convergence analysis of some decomposition method for initial value problem of the first order, to appear.

has been cited by the following article:

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

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

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

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.2 No.3, September 28, 2012

  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.