Approximate solution of dual integral equations using Chebyshev polynomials

The aim of the present work is to introduce solution of special dual integral equations by the orthogonal polynomials. We consider a system of dual integral equations with trigonometric kernels which appear in formulation of the potential distribution of an electrified plate with mixed boundary cond...

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Bibliographic Details
Published inInternational journal of computer mathematics Vol. 94; no. 3; pp. 493 - 502
Main Authors Ahdiaghdam, S., Shahmorad, S., Ivaz, K.
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 04.03.2017
Taylor & Francis Ltd
Subjects
Boundary conditions
Cauchy problems
Cauchy-type integral equations
Chebyshev approximation
Computer simulation
Cybernetics
dual integral equations
Estimating techniques
Fourier transform
Integral equations
Kernels
Mathematical analysis
Mathematical models
Polynomials
Singular integral equations
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Summary:The aim of the present work is to introduce solution of special dual integral equations by the orthogonal polynomials. We consider a system of dual integral equations with trigonometric kernels which appear in formulation of the potential distribution of an electrified plate with mixed boundary conditions and convert them to Cauchy-type singular integral equations. We use the Chebyshev orthogonal polynomials to construct approximate solution for Cauchy-type singular integral equations which will solve the main dual integral equations. Numerical results demonstrate effectiveness of this method.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 23
ISSN:0020-7160
1029-0265
DOI:10.1080/00207160.2015.1114611