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

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

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.

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Veröffentlicht in:American journal of computational mathematics 2012-09, Vol.2 (3), p.228-234
Hauptverfasser: Almazmumy, M., Hendi, F. A., Bakodah, H. O., Alzumi, H.
Format: Artikel
Sprache:eng
Schlagworte:
Computation
Decomposition
Differential equations
Initial value problems
Mathematical analysis
Mathematical models
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Zusammenfassung: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.
ISSN:2161-1203
2161-1211
DOI:10.4236/ajcm.2012.23030