Solution of nonlinear Volterra-Hammerstein integral equations via single-term Walsh series method

Single-term Walsh series are developed to approximate the solutions of nonlinear Volterra-Hammerstein integral equations. Properties of single-term Walsh series are presented and are utilized to reduce the computation of integral equations to some algebraic equations. The method is computationall...

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Main Authors: B. Sepehrian, M. Razzaghi
Format: Article
Language:English
Published: Hindawi Limited 2005-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/MPE.2005.547
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spelling doaj-d3b6298141c24435bc27e1016596c5662020-11-24T22:32:27ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472005-01-012005554755410.1155/MPE.2005.547Solution of nonlinear Volterra-Hammerstein integral equations via single-term Walsh series methodB. Sepehrian0M. Razzaghi1Department of Mathematics, Arak University, Tehran, IranDepartment of Mathematics and Statistics, Mississippi State University, 39762, MS, USASingle-term Walsh series are developed to approximate the solutions of nonlinear Volterra-Hammerstein integral equations. Properties of single-term Walsh series are presented and are utilized to reduce the computation of integral equations to some algebraic equations. The method is computationally attractive, and applications are demonstrated through illustrative examples.http://dx.doi.org/10.1155/MPE.2005.547
collection DOAJ
language English
format Article
sources DOAJ
author B. Sepehrian
M. Razzaghi
spellingShingle B. Sepehrian
M. Razzaghi
Solution of nonlinear Volterra-Hammerstein integral equations via single-term Walsh series method
Mathematical Problems in Engineering
author_facet B. Sepehrian
M. Razzaghi
author_sort B. Sepehrian
title Solution of nonlinear Volterra-Hammerstein integral equations via single-term Walsh series method
title_short Solution of nonlinear Volterra-Hammerstein integral equations via single-term Walsh series method
title_full Solution of nonlinear Volterra-Hammerstein integral equations via single-term Walsh series method
title_fullStr Solution of nonlinear Volterra-Hammerstein integral equations via single-term Walsh series method
title_full_unstemmed Solution of nonlinear Volterra-Hammerstein integral equations via single-term Walsh series method
title_sort solution of nonlinear volterra-hammerstein integral equations via single-term walsh series method
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2005-01-01
description Single-term Walsh series are developed to approximate the solutions of nonlinear Volterra-Hammerstein integral equations. Properties of single-term Walsh series are presented and are utilized to reduce the computation of integral equations to some algebraic equations. The method is computationally attractive, and applications are demonstrated through illustrative examples.
url http://dx.doi.org/10.1155/MPE.2005.547
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AT mrazzaghi solutionofnonlinearvolterrahammersteinintegralequationsviasingletermwalshseriesmethod
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