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New results on Adomian method

N. Himoun (M. Mammeri University, Tizi. Ouzou, Algeria)
K. Abbaoui (Ferhat, Abbas University, Setif, AlgeriaUniversite´ Pierre et Marie Curie, Paris VI, France)
Y. Cherruault (Universite´ Pierre et Marie Curie, Paris VI, France)

Kybernetes

ISSN: 0368-492X

Article publication date: 1 June 2003

290

Abstract

In this work new results about the Adomian method are presented. Also we prove a new and general result of convergence of the Adomain method, and give two results of convergence of this method applied to ordinary differential equations. Finally, we generalize the Adomian method and prove two new results of convergence with one of them applied to the modified method.

Keywords

Citation

Himoun, N., Abbaoui, K. and Cherruault, Y. (2003), "New results on Adomian method", Kybernetes, Vol. 32 No. 4, pp. 523-539. https://doi.org/10.1108/03684920310463911

Publisher

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MCB UP Ltd

Copyright © 2003, MCB UP Limited

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