The decomposition method applied to systems of Fredholm integral equations of the second kind.
type: Item
instance of: scholarly article
title: The decomposition method applied to systems of Fredholm integral equations of the second kind.
zbMATH Open document ID: 1042.65104
DOI: 10.1016/S0096-3003(02)00859-7
author: A. R. Vahidi
author: E. Babolian
author: J. Biazar
published in: Applied Mathematics and Computation
publication date: 2003-12-18T00:00:00Z
review text: The authors apply the Adomian decomposition method to systems of linear and nonlinear Fredholm integral equations of the second kind. They present convergence results and illustrate the performance of the method by means of two examples. The paper is an extension of closely related recent work by \textit{E. Babolian} and \textit{J. Biazar} [Far East J. Math. Sci. (FJMS) 2, 935--946 (2000; Zbl 0979.65123)] on the use of this method for systems of nonlinear Volterra integral equations.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45F05
Mathematics Subject Classification ID: 45G15
zbMATH DE Number: 2019679
zbMATH Keywords: Adomian decomposition method
zbMATH Keywords: systems of Fredholm integral equations
zbMATH Keywords: linear
zbMATH Keywords: nonlinear
zbMATH Keywords: convergence
reviewed by: H. Brunner
MaRDI profile type: Publication
cites work: Q4040348
cites work: Solving frontier problems of physics: the decomposition method
cites work: New results for convergence of Adomian's method applied to integral equations
cites work: Short papers
cites work: Solution of a system of nonlinear Volterra intergal equations of the second kind
cites work: Q4784286
cites work: Computational Methods for Integral Equations
cites work: The theoretical foundation of the Adomian method
description: scientific article; zbMATH DE number 2019679