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...
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American Institute of Physics
2011
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my.upm.eprints.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 |
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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. |
| format |
Conference or Workshop Item |
| author |
Obaiys, Suzan J. Eshkuvatov, Zainidin K. Nik Long, Nik Mohd Asri |
| spellingShingle |
Obaiys, Suzan J. Eshkuvatov, Zainidin K. Nik Long, Nik Mohd Asri A Chebyshev polynomial based quadrature for hypersingular integrals |
| author_facet |
Obaiys, Suzan J. Eshkuvatov, Zainidin K. Nik Long, Nik Mohd Asri |
| author_sort |
Obaiys, Suzan J. |
| title |
A Chebyshev polynomial based quadrature for hypersingular integrals |
| title_short |
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_sort |
chebyshev polynomial based quadrature for hypersingular integrals |
| publisher |
American Institute of Physics |
| publishDate |
2011 |
| url |
http://psasir.upm.edu.my/id/eprint/27709/1/ID%2027709.pdf http://psasir.upm.edu.my/id/eprint/27709/ |
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