A Chebyshev polynomial based quadrature for hypersingular integrals
This paper proposes an automatic quadrature scheme (AQS) for evaluating the hypersingular integrals with weight function w(t)=1 on the interval [0,1]. The density function f (x) is approximated by the shifted Chebyshev polynomials P∗N(t) of the first kind of degree N. AQS for Cauchy principle value...
| 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/27709/ http://psasir.upm.edu.my/id/eprint/27709/1/ID%2027709.pdf |
| _version_ | 1848845915364786176 |
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| author | Obaiys, Suzan J. Eshkuvatov, Zainidin K. Nik Long, Nik Mohd Asri |
| author_facet | Obaiys, Suzan J. Eshkuvatov, Zainidin K. Nik Long, Nik Mohd Asri |
| author_sort | Obaiys, Suzan J. |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | This paper proposes an automatic quadrature scheme (AQS) for evaluating the hypersingular integrals with weight function w(t)=1 on the interval [0,1]. The density function f (x) is approximated by the shifted Chebyshev polynomials P∗N(t) of the first kind of degree N. AQS for Cauchy principle value integrals on the interval [0,1] is also considered. Numerical examples are demonstrated in order to show that our developed approach can provide effective and reliable results. |
| first_indexed | 2025-11-15T08:54:24Z |
| format | Conference or Workshop Item |
| id | upm-27709 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T08:54:24Z |
| publishDate | 2011 |
| publisher | American Institute of Physics |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-277092017-09-08T03:53:08Z http://psasir.upm.edu.my/id/eprint/27709/ A Chebyshev polynomial based quadrature for hypersingular integrals Obaiys, Suzan J. Eshkuvatov, Zainidin K. Nik Long, Nik Mohd Asri This paper proposes an automatic quadrature scheme (AQS) for evaluating the hypersingular integrals with weight function w(t)=1 on the interval [0,1]. The density function f (x) is approximated by the shifted Chebyshev polynomials P∗N(t) of the first kind of degree N. AQS for Cauchy principle value integrals on the interval [0,1] is also considered. Numerical examples are demonstrated in order to show that our developed approach can provide effective and reliable results. American Institute of Physics 2011 Conference or Workshop Item NonPeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/27709/1/ID%2027709.pdf Obaiys, Suzan J. and Eshkuvatov, Zainidin K. and Nik Long, Nik Mohd Asri (2011) A Chebyshev polynomial based quadrature for hypersingular integrals. In: 5th International Conference on Research and Education in Mathematics (ICREM5), 22-24 Oct. 2011, Bandung, Indonesia. (pp. 139-141). 10.1063/1.4724130 |
| spellingShingle | Obaiys, Suzan J. Eshkuvatov, Zainidin K. Nik Long, Nik Mohd Asri A Chebyshev polynomial based quadrature for hypersingular integrals |
| title | A Chebyshev polynomial based quadrature for hypersingular integrals |
| title_full | A Chebyshev polynomial based quadrature for hypersingular integrals |
| title_fullStr | A Chebyshev polynomial based quadrature for hypersingular integrals |
| title_full_unstemmed | A Chebyshev polynomial based quadrature for hypersingular integrals |
| title_short | A Chebyshev polynomial based quadrature for hypersingular integrals |
| title_sort | chebyshev polynomial based quadrature for hypersingular integrals |
| url | http://psasir.upm.edu.my/id/eprint/27709/ http://psasir.upm.edu.my/id/eprint/27709/ http://psasir.upm.edu.my/id/eprint/27709/1/ID%2027709.pdf |