The theoretical foundation of the Adomian method

作者: L. Gabet

DOI: 10.1016/0898-1221(94)90084-1

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摘要: Abstract In this paper, we work out the theoretical basis of Adomian method. This powerful method that G. has developed in beginning 1980's supplies analytical approximations to solution many kinds equations. Thanks our decomposition theory, justify practical and generalize convergence results obtained by Y. Cherruault. Afterward, explain how solve rigorously equations with linear, nonlinear or composed operator also several terms a second member.

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