NEW IDEAS FOR PROVING CONVERGENCE OF DECOMPOSITION METHODS

Authors
ABBAOUI K CHERRUAULT Y
Citation
K. Abbaoui et Y. Cherruault, NEW IDEAS FOR PROVING CONVERGENCE OF DECOMPOSITION METHODS, Computers & mathematics with applications, 29(7), 1995, pp. 103-108
Citations number
8
Categorie Soggetti
Computer Sciences",Mathematics,"Computer Science Interdisciplinary Applications
Journal title
Computers & mathematics with applications → ACNP
ISSN journal
08981221
Volume
29
Issue
7
Year of publication
1995
Pages
103 - 108
Database
ISI
SICI code
0898-1221(1995)29:7<103:NIFPCO>2.0.ZU;2-0
Abstract
In this paper, we give new formulae which calculate easily the Adomian 's polynomials used in decomposition methods. Then, the proof of conve rgence of the Adomian's technique becomes almost obvious by using a we ak hypothesis on the nonlinear operator of the functional equation.