New results for the Adomian method
S. Khelifa
(Université des Sciences et de la Technologie Houari Boumediène, Institut de Mathématiques, El Alia, Algerie,)
Y. Cherruault
(Université Pierre et Marie Curie, Laboratoire MEDIMAT, Paris, France)
331
Abstract
Describes the Adomian decomposition method and provides a new proof for the evaluation of the Abbaoui‐Cherruault numbers. Demonstrates a new result for Bell polynominals and establishes and proves a new norm bound for Adomian polynominals. Demonstrates an application to the truncation error evaluation and applies the presented results to a microchip lasers problem.
Keywords
Citation
Khelifa, S. and Cherruault, Y. (2000), "New results for the Adomian method", Kybernetes, Vol. 29 No. 3, pp. 332-355. https://doi.org/10.1108/03684920010795303
Publisher
:MCB UP Ltd
Copyright © 2000, MCB UP Limited