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Improvement of convergence of Adomian’s method using Padé approximants

M. Chrysos (Laboratoire POMA, UMR CNRS 6136, Université d'Angers, Angers, France)
F. Sanchez (Laboratoire POMA, UMR CNRS 6136, Université d'Angers, Angers, France)
Y. Cherruault (Laboratoire MEDIMAT, Université Pierre and Marie Curie, Paris, France)

Kybernetes

ISSN: 0368-492X

Article publication date: 1 August 2002

406

Abstract

We show that Padé approximants considerably improve convergence of Adomian's decomposition. The power of the method proposed is demonstrated through two illustrative examples from the field of nonlinear optics.

Keywords

Citation

Chrysos, M., Sanchez, F. and Cherruault, Y. (2002), "Improvement of convergence of Adomian’s method using Padé approximants", Kybernetes, Vol. 31 No. 6, pp. 884-895. https://doi.org/10.1108/03684920210432835

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MCB UP Ltd

Copyright © 2002, MCB UP Limited

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