New results for convergence of Adomian's method applied to integral equations

Authors:
Y. Cherruault;G. Saccomandi;B. Some
Affiliations:
Medimat Université Paris 6 15 Rue de L'Ecole de Médecine 75270 Paris Cedex 06, France;Medimat Université Paris 6 15 Rue de L'Ecole de Médecine 75270 Paris Cedex 06, France;Medimat Université Paris 6 15 Rue de L'Ecole de Médecine 75270 Paris Cedex 06, France
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
1992

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Abstract

This paper deals with a new proof of convergence of Adomian's method. Series substition properties are used. We give numerical applications to nonlinear integral equations.