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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Series: | Mathematical Problems in Engineering |
Online Access: | http://dx.doi.org/10.1155/MPE.2005.547 |
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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 |
work_keys_str_mv |
AT bsepehrian solutionofnonlinearvolterrahammersteinintegralequationsviasingletermwalshseriesmethod AT mrazzaghi solutionofnonlinearvolterrahammersteinintegralequationsviasingletermwalshseriesmethod |
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1725733880184438784 |