An automatic quadrature schemes and error estimates for semibounded weighted Hadamard type hypersingular integrals
The approximate solutions for the semibounded Hadamard type hypersingular integrals (HSIs) for smooth density function are investigated. The automatic quadrature schemes (AQSs) are constructed by approximating the density function using the third and fourth kinds of Chebyshev polynomials. Error esti...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Hindawi Publishing Corporation
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/36396/1/36396.pdf |
| _version_ | 1796972903713996800 |
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| author | Bichi, Sirajo Lawan Eshkuvatov, Zainidin K. Nik Long, Nik Mohd Asri |
| author_facet | Bichi, Sirajo Lawan Eshkuvatov, Zainidin K. Nik Long, Nik Mohd Asri |
| author_sort | Bichi, Sirajo Lawan |
| collection | UPM |
| description | The approximate solutions for the semibounded Hadamard type hypersingular integrals (HSIs) for smooth density function are investigated. The automatic quadrature schemes (AQSs) are constructed by approximating the density function using the third and fourth kinds of Chebyshev polynomials. Error estimates for the semibounded solutions are obtained in the class of h(t) ∈ CN,a [-1, 1]. Numerical results for the obtained quadrature schemes revealed that the proposed methods are highly accurate when the density function h (t)is any polynomial or rational functions. The results are in line with the theoretical findings. |
| first_indexed | 2024-03-06T08:35:12Z |
| format | Article |
| id | upm.eprints-36396 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T08:35:12Z |
| publishDate | 2014 |
| publisher | Hindawi Publishing Corporation |
| record_format | dspace |
| spelling | upm.eprints-363962017-10-19T06:13:02Z http://psasir.upm.edu.my/id/eprint/36396/ An automatic quadrature schemes and error estimates for semibounded weighted Hadamard type hypersingular integrals Bichi, Sirajo Lawan Eshkuvatov, Zainidin K. Nik Long, Nik Mohd Asri The approximate solutions for the semibounded Hadamard type hypersingular integrals (HSIs) for smooth density function are investigated. The automatic quadrature schemes (AQSs) are constructed by approximating the density function using the third and fourth kinds of Chebyshev polynomials. Error estimates for the semibounded solutions are obtained in the class of h(t) ∈ CN,a [-1, 1]. Numerical results for the obtained quadrature schemes revealed that the proposed methods are highly accurate when the density function h (t)is any polynomial or rational functions. The results are in line with the theoretical findings. Hindawi Publishing Corporation 2014 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/36396/1/36396.pdf Bichi, Sirajo Lawan and Eshkuvatov, Zainidin K. and Nik Long, Nik Mohd Asri (2014) An automatic quadrature schemes and error estimates for semibounded weighted Hadamard type hypersingular integrals. Abstract and Applied Analysis, 2014. art. no. 387246. pp. 1-13. ISSN 1085-3375; ESSN: 1687-0409 http://www.hindawi.com/journals/aaa/2014/387246/abs/ 10.1155/2014/387246 |
| spellingShingle | Bichi, Sirajo Lawan Eshkuvatov, Zainidin K. Nik Long, Nik Mohd Asri An automatic quadrature schemes and error estimates for semibounded weighted Hadamard type hypersingular integrals |
| title | An automatic quadrature schemes and error estimates for semibounded weighted Hadamard type hypersingular integrals |
| title_full | An automatic quadrature schemes and error estimates for semibounded weighted Hadamard type hypersingular integrals |
| title_fullStr | An automatic quadrature schemes and error estimates for semibounded weighted Hadamard type hypersingular integrals |
| title_full_unstemmed | An automatic quadrature schemes and error estimates for semibounded weighted Hadamard type hypersingular integrals |
| title_short | An automatic quadrature schemes and error estimates for semibounded weighted Hadamard type hypersingular integrals |
| title_sort | automatic quadrature schemes and error estimates for semibounded weighted hadamard type hypersingular integrals |
| url | http://psasir.upm.edu.my/id/eprint/36396/1/36396.pdf |
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