A new formulation of Adomian method: Convergence result
K. Abbaoui
(Université Ferhat Abbas, Sétif, Algeria and Université Paris VI, Laboratoire Medimat, Paris, France)
M.J. Pujol
(Université Mou)
loud MAMMERI, Tizi‐Ouzou, Algérie
Y. Cherruault
(Université Paris VI, Laboratoire Medimat, Paris, France)
N. Himoun
(Université Mouloud, MAMMERI, Tizi‐Ouzou, Algeria, and)
P. Grimalt
(Universidad de Alicante, Depto. de Análisis Matemático y Matemática Aplicada, Spain)
489
Abstract
A new approach of the decomposition method (Adomian) in which the Adomian scheme is obtained in a more natural way than in the classical presentation, is given. A new condition for obtaining convergence of the decomposition series is also included.
Keywords
Citation
Abbaoui, K., Pujol, M.J., Cherruault, Y., Himoun, N. and Grimalt, P. (2001), "A new formulation of Adomian method: Convergence result", Kybernetes, Vol. 30 No. 9/10, pp. 1183-1191. https://doi.org/10.1108/EUM0000000006549
Publisher
:MCB UP Ltd
Copyright © 2001, MCB UP Limited