P-ISSN: 2707-8221, E-ISSN: 2707-823X
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2023, Vol. 4, Issue 2, Part A
An algorithm based on power series and shifted chebyshev polynomials for solving volterra and fredholm integral equations
Author(s): Ayinde Muhammed Abdullahi, Zubair Olushola Rafiu, Salami Adesina Jimoh and Yusuf Bola Tayibat
Abstract: This paper considered an approximate solution of linear second-order integral equations of Volterra and Fredholm types using power series and shifted Chebyshev polynomials as basis functions. In addition, shifted Chebyshev Gauss-Lobatto collocation points were chosen to collocate the approximate solution and numerical examples were performed on some problems using both power series and shifted Chebyshev polynomials for various orders in terms of errors obtained. The two basis functions were compared. However, as the table of errors shows shifted Chebyshev polynomials outperformed power series in some problems.
Pages: 28-33 | Views: 248 | Downloads: 121
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How to cite this article:
Ayinde Muhammed Abdullahi, Zubair Olushola Rafiu, Salami Adesina Jimoh, Yusuf Bola Tayibat. An algorithm based on power series and shifted chebyshev polynomials for solving volterra and fredholm integral equations. Int J Mater Sci 2023;4(2):28-33.
