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The decomposition method applied to the Cauchy problem

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 February 1999

412

Abstract

In this paper, we use the decomposition method for solving the Cauchy problem without using the canonical form of Adomian. We also give proof of convergence by using a new formulation of the Adomain polynomials and we compare our technique with the Picard method.

Keywords

Citation

Abbaoui, K. and Cherruault, Y. (1999), "The decomposition method applied to the Cauchy problem", Kybernetes, Vol. 28 No. 1, pp. 68-74. https://doi.org/10.1108/03684929910253261

Publisher

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MCB UP Ltd

Copyright © 1999, MCB UP Limited

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