Convergence of Adomian's method applied to nonlinear equations

Authors:
K. Abbaoui;Y. Cherruault
Affiliations:
Université Paris VI Laboratoire MEDIMAT 15 Rue de l'Ecole de Médecine, 75270 Paris Cédex 06 France;Université Paris VI Laboratoire MEDIMAT 15 Rue de l'Ecole de Médecine, 75270 Paris Cédex 06 France
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
1994

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Abstract

In this paper, we give a proof of Adomian's method using only some properties of the nonlinear function, and we apply these results to some concrete problems.