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New results of convergence of Adomian’s method

N. Himoun (Université Paris VI, Laboratoire MEDIMAT, Paris, France)
K. Abbaoui (Université Paris VI, Laboratoire MEDIMAT, Paris, France)
Y. Cherruault (Université Paris VI, Laboratoire MEDIMAT, Paris, France)

Kybernetes

ISSN: 0368-492X

Article publication date: 1 June 1999

626

Abstract

New results about convergence of Adomian’s method are presented. This method was developed by G. Adomian for solving non‐linear functional equations of different kinds. New conditions for obtaining convergence of the decomposition series are given. In a similar way, the convergence of a regularisation method which can, for example, be applied to Fredholm integral equations of the first kind, is proved.

Keywords

Citation

Himoun, N., Abbaoui, K. and Cherruault, Y. (1999), "New results of convergence of Adomian’s method", Kybernetes, Vol. 28 No. 4, pp. 423-429. https://doi.org/10.1108/03684929910267752

Publisher

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MCB UP Ltd

Copyright © 1999, MCB UP Limited

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