Orthogonal Basis to Solve Linear Fredholm Integral Equations via Galerkin Method

in this paper, the approximate solution of linear Fredholm integral equations of the second type on a closed interval is studied. The Galerkin method enhanced with Chebyshev polynomials was used to improve the approximate solution of our study, the related linear system was solved by the Boole'...

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Bibliographic Details
Published in:IOP conference series. Materials Science and Engineering 2020-11, Vol.928 (4), p.42016
Main Authors: Flayih Jaber, Ahmed, M.H.R. Al-rammahi, Adil
Format: Article
Language:English
Subjects:
Boole's Rule
Chebyshev approximation
Chebyshev polynomials
Fredholm equations
Galerkin method
Integral equations
Linear Fredholm integral equations of second type (LFIEST)
Mathematical analysis
Polynomials
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Summary:in this paper, the approximate solution of linear Fredholm integral equations of the second type on a closed interval is studied. The Galerkin method enhanced with Chebyshev polynomials was used to improve the approximate solution of our study, the related linear system was solved by the Boole's numerical integrated rule. for testing the efficiency of the proposed method, the comparison with related updated methods was executed.
ISSN:1757-8981
1757-899X
DOI:10.1088/1757-899X/928/4/042016