Modified homotopy perturbation method for solving hypersingular integral equations of the second kind
Modified homotopy perturbation method (HPM) is used to solve the hypersingular integral equations (HSIEs) of the second kind on the interval [-1, 1] with the assumption that the kernel in the form K(x, t)(x-t)-c0 where K(x, t) is a constant on the diagonal of the domain. This method introduced selec...
| Main Authors: | , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
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AIP Publishing
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57170/ http://psasir.upm.edu.my/id/eprint/57170/1/Modified%20homotopy%20perturbation%20method%20for%20solving%20hypersingular%20integral%20equations%20of%20the%20second%20kind.pdf |
| _version_ | 1848853290343727104 |
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| author | Zulkarnain, F. S. Eshkuvatov, Zainidin K. Nik Long, Nik Mohd Asri Ismail, Fudziah |
| author_facet | Zulkarnain, F. S. Eshkuvatov, Zainidin K. Nik Long, Nik Mohd Asri Ismail, Fudziah |
| author_sort | Zulkarnain, F. S. |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Modified homotopy perturbation method (HPM) is used to solve the hypersingular integral equations (HSIEs) of the second kind on the interval [-1, 1] with the assumption that the kernel in the form K(x, t)(x-t)-c0 where K(x, t) is a constant on the diagonal of the domain. This method introduced selective functions as Chebyshev polynomials of second kind and unknown parameters that leads to two step iterations and gives exact solution. Example are presented to prove the efficiency and realiability of the method. |
| first_indexed | 2025-11-15T10:51:37Z |
| format | Conference or Workshop Item |
| id | upm-57170 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:51:37Z |
| publishDate | 2016 |
| publisher | AIP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-571702017-09-08T05:30:34Z http://psasir.upm.edu.my/id/eprint/57170/ Modified homotopy perturbation method for solving hypersingular integral equations of the second kind Zulkarnain, F. S. Eshkuvatov, Zainidin K. Nik Long, Nik Mohd Asri Ismail, Fudziah Modified homotopy perturbation method (HPM) is used to solve the hypersingular integral equations (HSIEs) of the second kind on the interval [-1, 1] with the assumption that the kernel in the form K(x, t)(x-t)-c0 where K(x, t) is a constant on the diagonal of the domain. This method introduced selective functions as Chebyshev polynomials of second kind and unknown parameters that leads to two step iterations and gives exact solution. Example are presented to prove the efficiency and realiability of the method. AIP Publishing 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57170/1/Modified%20homotopy%20perturbation%20method%20for%20solving%20hypersingular%20integral%20equations%20of%20the%20second%20kind.pdf Zulkarnain, F. S. and Eshkuvatov, Zainidin K. and Nik Long, Nik Mohd Asri and Ismail, Fudziah (2016) Modified homotopy perturbation method for solving hypersingular integral equations of the second kind. In: 2nd International Conference on Mathematical Sciences and Statistics (ICMSS2016), 26-28 Jan. 2016, Kuala Lumpur, Malaysia. (pp. 1-6). http://aip.scitation.org/doi/abs/10.1063/1.4952507 10.1063/1.4952507 |
| spellingShingle | Zulkarnain, F. S. Eshkuvatov, Zainidin K. Nik Long, Nik Mohd Asri Ismail, Fudziah Modified homotopy perturbation method for solving hypersingular integral equations of the second kind |
| title | Modified homotopy perturbation method for solving hypersingular integral equations of the second kind |
| title_full | Modified homotopy perturbation method for solving hypersingular integral equations of the second kind |
| title_fullStr | Modified homotopy perturbation method for solving hypersingular integral equations of the second kind |
| title_full_unstemmed | Modified homotopy perturbation method for solving hypersingular integral equations of the second kind |
| title_short | Modified homotopy perturbation method for solving hypersingular integral equations of the second kind |
| title_sort | modified homotopy perturbation method for solving hypersingular integral equations of the second kind |
| url | http://psasir.upm.edu.my/id/eprint/57170/ http://psasir.upm.edu.my/id/eprint/57170/ http://psasir.upm.edu.my/id/eprint/57170/ http://psasir.upm.edu.my/id/eprint/57170/1/Modified%20homotopy%20perturbation%20method%20for%20solving%20hypersingular%20integral%20equations%20of%20the%20second%20kind.pdf |