A double series variational method for a class of second kind Fredholm integral equations
type: Item
instance of: scholarly article
title: A double series variational method for a class of second kind Fredholm integral equations
zbMATH Open document ID: 0807.65139
DOI: 10.1007/BF01837977
author: Nassar H. S. Haidar
published in: Aequationes Mathematicae
publication date: 1995-02-28T00:00:00Z
full work available at URL: https://eudml.org/doc/137590
review text: In an earlier paper [J. Math. Anal. Appl. 143, No. 1, 264-289 (1989; Zbl 0683.65113)] the author studied a double series variational method for solving a class of first-kind Fredholm integral equations with nondegenerate kernels. This approach is now extended to Fredholm integral equations of the second kind, by formally rewriting the given equation as a first-kind equation, \[ \lambda^{-1}[f(v)- g(v)]= \int^ b_ a K(v,x)f(x)dx. \] Computationally, the method appears to be more expensive than comparable Galerkin or collocation methods but improved accuracy and convergence characteristics, as well as additional flexibility of implementation may make this drawback less serious. There are, however, no numerical results to illustrate these aspects.
reviewed by: H. Brunner
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45B05
zbMATH DE Number: 636041
zbMATH Keywords: Galerkin method
zbMATH Keywords: double series variational method
zbMATH Keywords: first-kind Fredholm integral equations
zbMATH Keywords: nondegenerate kernels
zbMATH Keywords: Fredholm integral equations of the second kind
zbMATH Keywords: collocation methods
zbMATH Keywords: improved accuracy
zbMATH Keywords: convergence
MaRDI profile type: Publication
cites work: Q4124250
cites work: On some properties of Effros Borel structure on spaces of closed subsets
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cites work: On the Numerical Solution of Fredholm Integral Equations of the First Kind
cites work: Q4104869
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OpenAlex ID: W2093409696
description: scientific article; zbMATH DE number 636041