Approximate solution of a system of singular integral equations of the first kind by using Chebyshev polynomials

The aim of the present work is to introduce a method based on the Chebyshev polynomials for numerical solution of a system of Cauchy type singular integral equations of the first kind on a finite segment. Moreover, an estimation error is computed for the approximate solution. Numerical resultsdemons...

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Bibliographic Details
Main Authors:	S. Ahdiaghdam, S. Shahmorad
Format:	Article
Language:	English
Published:	Ferdowsi University of Mashhad 2019-10-01
Series:	Iranian Journal of Numerical Analysis and Optimization
Subjects:	systems of singular linear integral equations orthogonal polynomials fourier series best approximation
Online Access:	https://ijnao.um.ac.ir/article_24868_8fea94cf2959f747939ed8f93a145df0.pdf

id	doaj-110eecfbf8f94760a5537a38d870cfd5
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spelling	doaj-110eecfbf8f94760a5537a38d870cfd52021-02-17T10:41:33ZengFerdowsi University of MashhadIranian Journal of Numerical Analysis and Optimization2423-69772423-69692019-10-0192314710.22067/ijnao.v9i2.7372424868Approximate solution of a system of singular integral equations of the first kind by using Chebyshev polynomialsS. Ahdiaghdam0S. Shahmorad1Islamic Azad University, MarandUniversity of TabrizThe aim of the present work is to introduce a method based on the Chebyshev polynomials for numerical solution of a system of Cauchy type singular integral equations of the first kind on a finite segment. Moreover, an estimation error is computed for the approximate solution. Numerical resultsdemonstrate the effectiveness of the proposed method.https://ijnao.um.ac.ir/article_24868_8fea94cf2959f747939ed8f93a145df0.pdfsystems of singular linear integral equationsorthogonal polynomialsfourier seriesbest approximation
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	S. Ahdiaghdam S. Shahmorad
spellingShingle	S. Ahdiaghdam S. Shahmorad Approximate solution of a system of singular integral equations of the first kind by using Chebyshev polynomials Iranian Journal of Numerical Analysis and Optimization systems of singular linear integral equations orthogonal polynomials fourier series best approximation
author_facet	S. Ahdiaghdam S. Shahmorad
author_sort	S. Ahdiaghdam
title	Approximate solution of a system of singular integral equations of the first kind by using Chebyshev polynomials
title_short	Approximate solution of a system of singular integral equations of the first kind by using Chebyshev polynomials
title_full	Approximate solution of a system of singular integral equations of the first kind by using Chebyshev polynomials
title_fullStr	Approximate solution of a system of singular integral equations of the first kind by using Chebyshev polynomials
title_full_unstemmed	Approximate solution of a system of singular integral equations of the first kind by using Chebyshev polynomials
title_sort	approximate solution of a system of singular integral equations of the first kind by using chebyshev polynomials
publisher	Ferdowsi University of Mashhad
series	Iranian Journal of Numerical Analysis and Optimization
issn	2423-6977 2423-6969
publishDate	2019-10-01
description	The aim of the present work is to introduce a method based on the Chebyshev polynomials for numerical solution of a system of Cauchy type singular integral equations of the first kind on a finite segment. Moreover, an estimation error is computed for the approximate solution. Numerical resultsdemonstrate the effectiveness of the proposed method.
topic	systems of singular linear integral equations orthogonal polynomials fourier series best approximation
url	https://ijnao.um.ac.ir/article_24868_8fea94cf2959f747939ed8f93a145df0.pdf
work_keys_str_mv	AT sahdiaghdam approximatesolutionofasystemofsingularintegralequationsofthefirstkindbyusingchebyshevpolynomials AT sshahmorad approximatesolutionofasystemofsingularintegralequationsofthefirstkindbyusingchebyshevpolynomials
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Approximate solution of a system of singular integral equations of the first kind by using Chebyshev polynomials

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