A note on the numerical solution for Fredholm integral equation of the second kind with Cauchy kernel.
In this study, numerical solution for the Fredholm integral equation of the second kind with Cauchy singular kernel is presented. The Chebyshev polynomials of the second kind are used to approximate the unknown function. Numerical results are given to show the accuracy of the present numerical solut...
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| Format: | Article |
| Language: | English English |
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Science Publications
2011
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| Online Access: | http://psasir.upm.edu.my/id/eprint/24850/ http://psasir.upm.edu.my/id/eprint/24850/1/A%20note%20on%20the%20numerical%20solution%20for%20Fredholm%20integral%20equation%20of%20the%20second%20kind%20with%20Cauchy%20kernel.pdf |
| _version_ | 1848845148712075264 |
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| author | Mahiub, Mohammad Abdulkawi Nik Long, Nik Mohd Asri Eshkuratov, Zainidin K. |
| author_facet | Mahiub, Mohammad Abdulkawi Nik Long, Nik Mohd Asri Eshkuratov, Zainidin K. |
| author_sort | Mahiub, Mohammad Abdulkawi |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this study, numerical solution for the Fredholm integral equation of the second kind with Cauchy singular kernel is presented. The Chebyshev polynomials of the second kind are used to approximate the unknown function. Numerical results are given to show the accuracy of the present numerical solution. The present numerical solution to the Fredholm integral equation of the second kind with Cauchy kernel is accurate. |
| first_indexed | 2025-11-15T08:42:13Z |
| format | Article |
| id | upm-24850 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T08:42:13Z |
| publishDate | 2011 |
| publisher | Science Publications |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-248502015-10-20T07:09:09Z http://psasir.upm.edu.my/id/eprint/24850/ A note on the numerical solution for Fredholm integral equation of the second kind with Cauchy kernel. Mahiub, Mohammad Abdulkawi Nik Long, Nik Mohd Asri Eshkuratov, Zainidin K. In this study, numerical solution for the Fredholm integral equation of the second kind with Cauchy singular kernel is presented. The Chebyshev polynomials of the second kind are used to approximate the unknown function. Numerical results are given to show the accuracy of the present numerical solution. The present numerical solution to the Fredholm integral equation of the second kind with Cauchy kernel is accurate. Science Publications 2011 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/24850/1/A%20note%20on%20the%20numerical%20solution%20for%20Fredholm%20integral%20equation%20of%20the%20second%20kind%20with%20Cauchy%20kernel.pdf Mahiub, Mohammad Abdulkawi and Nik Long, Nik Mohd Asri and Eshkuratov, Zainidin K. (2011) A note on the numerical solution for Fredholm integral equation of the second kind with Cauchy kernel. Journal of Mathematics and Statistics, 7 (1). pp. 68-72. ISSN 1549-3644 10.3844/jmssp.2011.68.72 English |
| spellingShingle | Mahiub, Mohammad Abdulkawi Nik Long, Nik Mohd Asri Eshkuratov, Zainidin K. A note on the numerical solution for Fredholm integral equation of the second kind with Cauchy kernel. |
| title | A note on the numerical solution for Fredholm integral equation of the second kind with Cauchy kernel. |
| title_full | A note on the numerical solution for Fredholm integral equation of the second kind with Cauchy kernel. |
| title_fullStr | A note on the numerical solution for Fredholm integral equation of the second kind with Cauchy kernel. |
| title_full_unstemmed | A note on the numerical solution for Fredholm integral equation of the second kind with Cauchy kernel. |
| title_short | A note on the numerical solution for Fredholm integral equation of the second kind with Cauchy kernel. |
| title_sort | note on the numerical solution for fredholm integral equation of the second kind with cauchy kernel. |
| url | http://psasir.upm.edu.my/id/eprint/24850/ http://psasir.upm.edu.my/id/eprint/24850/ http://psasir.upm.edu.my/id/eprint/24850/1/A%20note%20on%20the%20numerical%20solution%20for%20Fredholm%20integral%20equation%20of%20the%20second%20kind%20with%20Cauchy%20kernel.pdf |