Numerical solution of FIE of the second kind with cauchy kernel
In this paper, we present numerical method for solving the Fredholm Integral Equation of the second kind with Cauchy kernel. The weighted Chebyshev polynomials of the second kind are used to approximate the unknown function. Inconstant coefficients are approximated by Chebyshev polynomials of the fi...
| Main Authors: | , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
American Institute of Physics
2011
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| Online Access: | http://psasir.upm.edu.my/id/eprint/27707/ http://psasir.upm.edu.my/id/eprint/27707/1/ID%2027707.pdf |
| _version_ | 1848845914807992320 |
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| author | Eshkuvatov, Zainidin K. Mahiub, Mohammad Abdulkawi Nik Long, Nik Mohd Asri |
| author_facet | Eshkuvatov, Zainidin K. Mahiub, Mohammad Abdulkawi Nik Long, Nik Mohd Asri |
| author_sort | Eshkuvatov, Zainidin K. |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, we present numerical method for solving the Fredholm Integral Equation of the second kind with Cauchy kernel. The weighted Chebyshev polynomials of the second kind are used to approximate the unknown function. Inconstant coefficients are approximated by Chebyshev polynomials of the first kind. Special type of regular integrals are computed analytically. Finally, numerical results show the exactness and accuracy of the numerical method presented. |
| first_indexed | 2025-11-15T08:54:23Z |
| format | Conference or Workshop Item |
| id | upm-27707 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T08:54:23Z |
| publishDate | 2011 |
| publisher | American Institute of Physics |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-277072017-09-08T03:56:17Z http://psasir.upm.edu.my/id/eprint/27707/ Numerical solution of FIE of the second kind with cauchy kernel Eshkuvatov, Zainidin K. Mahiub, Mohammad Abdulkawi Nik Long, Nik Mohd Asri In this paper, we present numerical method for solving the Fredholm Integral Equation of the second kind with Cauchy kernel. The weighted Chebyshev polynomials of the second kind are used to approximate the unknown function. Inconstant coefficients are approximated by Chebyshev polynomials of the first kind. Special type of regular integrals are computed analytically. Finally, numerical results show the exactness and accuracy of the numerical method presented. American Institute of Physics 2011 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/27707/1/ID%2027707.pdf Eshkuvatov, Zainidin K. and Mahiub, Mohammad Abdulkawi and Nik Long, Nik Mohd Asri (2011) Numerical solution of FIE of the second kind with cauchy kernel. In: 5th International Conference on Research and Education in Mathematics (ICREM5), 22-24 Oct. 2011, Bandung, Indonesia. (pp. 230-233). 10.1063/1.4724145 |
| spellingShingle | Eshkuvatov, Zainidin K. Mahiub, Mohammad Abdulkawi Nik Long, Nik Mohd Asri Numerical solution of FIE of the second kind with cauchy kernel |
| title | Numerical solution of FIE of the second kind with cauchy kernel |
| title_full | Numerical solution of FIE of the second kind with cauchy kernel |
| title_fullStr | Numerical solution of FIE of the second kind with cauchy kernel |
| title_full_unstemmed | Numerical solution of FIE of the second kind with cauchy kernel |
| title_short | Numerical solution of FIE of the second kind with cauchy kernel |
| title_sort | numerical solution of fie of the second kind with cauchy kernel |
| url | http://psasir.upm.edu.my/id/eprint/27707/ http://psasir.upm.edu.my/id/eprint/27707/ http://psasir.upm.edu.my/id/eprint/27707/1/ID%2027707.pdf |