Haar Wavelet Method for the System of Integral Equations

We employed the Haar wavelet method to find numerical solution of the system of Fredholm integral equations (SFIEs) and the system of Volterra integral equations (SVIEs). Five test problems, for which the exact solution is known, are considered. Comparison of the results is obtained by the Haar...

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Main Authors: Hassan A. Zedan, Eman Alaidarous
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/418909
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author Hassan A. Zedan
Eman Alaidarous
author_facet Hassan A. Zedan
Eman Alaidarous
author_sort Hassan A. Zedan
collection DOAJ
description We employed the Haar wavelet method to find numerical solution of the system of Fredholm integral equations (SFIEs) and the system of Volterra integral equations (SVIEs). Five test problems, for which the exact solution is known, are considered. Comparison of the results is obtained by the Haar wavelet method with the exact solution.
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institution Kabale University
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publishDate 2014-01-01
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series Abstract and Applied Analysis
spelling doaj-art-e49356ebe0e7487f8f87fe57e15e19cd2025-08-20T03:26:26ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/418909418909Haar Wavelet Method for the System of Integral EquationsHassan A. Zedan0Eman Alaidarous1Mathematics Department, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaMathematics Department, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaWe employed the Haar wavelet method to find numerical solution of the system of Fredholm integral equations (SFIEs) and the system of Volterra integral equations (SVIEs). Five test problems, for which the exact solution is known, are considered. Comparison of the results is obtained by the Haar wavelet method with the exact solution.http://dx.doi.org/10.1155/2014/418909
spellingShingle Hassan A. Zedan
Eman Alaidarous
Haar Wavelet Method for the System of Integral Equations
Abstract and Applied Analysis
title Haar Wavelet Method for the System of Integral Equations
title_full Haar Wavelet Method for the System of Integral Equations
title_fullStr Haar Wavelet Method for the System of Integral Equations
title_full_unstemmed Haar Wavelet Method for the System of Integral Equations
title_short Haar Wavelet Method for the System of Integral Equations
title_sort haar wavelet method for the system of integral equations
url http://dx.doi.org/10.1155/2014/418909
work_keys_str_mv AT hassanazedan haarwaveletmethodforthesystemofintegralequations
AT emanalaidarous haarwaveletmethodforthesystemofintegralequations