An algorithm for solving boundary value problems
type: Item
instance of: scholarly article
title: An algorithm for solving boundary value problems
zbMATH Open document ID: 0959.65091
author: Shishen Xie
author: Elias Y. Deeba
author: S. A. Khuri
published in: Journal of Computational Physics
publication date: 2000-11-23T00:00:00Z
review text: This paper deals with nonlinear Fredholm integral equations. The decomposition method of Adomian is used. Numerical experiments are given proving the adequacy of the method. But the authors do not know recent results by \textit{K. Abbaoui} and \textit{Y. Cherruault} [Comput. Math. Appl. 28, No. 5, 103-109 (1994; Zbl 0809.65073); ibid. 29, No. 7, 103-108 (1995; Zbl 0832.47051)] for calculating easily, in a recurrent way, the Adomian polynomials. These results allow to decrease the calculation time. Remark that the integral representation is obtained through the Green's function when applied to boundary value problems.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 34B27
Mathematics Subject Classification ID: 45G05
Mathematics Subject Classification ID: 65R20
zbMATH DE Number: 1443365
zbMATH Keywords: Bratu's problem
zbMATH Keywords: numerical experiments
zbMATH Keywords: nonlinear Fredholm integral equations
zbMATH Keywords: decomposition method of Adomian
reviewed by: Yves Cherruault
MaRDI profile type: Publication
full work available at URL: jcph.2000.6452
OpenAlex ID: W1968555722
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DOI: 10.1006/JCPH.2000.6452
description: scientific article; zbMATH DE number 1443365