A quadrature formula for the approximation of Cauchy type singular integrals on the interval
The paper deals with the construction of an efficient quadrature formula for singular integrals (SI) of Cauchy type. The construction of quadrature formula is based on modification of discrete vortex method and interpolation linear spline. The estimations of errors are obtained in the classes of Hα(...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Hikari
2007
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| Online Access: | http://psasir.upm.edu.my/id/eprint/12800/ http://psasir.upm.edu.my/id/eprint/12800/1/A%20quadrature%20formula%20for%20the%20approximation%20of%20Cauchy%20type%20singular%20integrals%20on%20the%20interval.pdf |
| _version_ | 1848841934400913408 |
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| author | Eshkuvatov, Zainidin K. Nik Long, Nik Mohd Asri |
| author_facet | Eshkuvatov, Zainidin K. Nik Long, Nik Mohd Asri |
| author_sort | Eshkuvatov, Zainidin K. |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The paper deals with the construction of an efficient quadrature formula for singular integrals (SI) of Cauchy type. The construction of quadrature formula is based on modification of discrete vortex method and interpolation linear spline. The estimations of errors are obtained in the classes of Hα([−1,1],K) andC1([−1,1]). Numerical analysis arealso given. |
| first_indexed | 2025-11-15T07:51:07Z |
| format | Article |
| id | upm-12800 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T07:51:07Z |
| publishDate | 2007 |
| publisher | Hikari |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-128002015-09-15T02:14:15Z http://psasir.upm.edu.my/id/eprint/12800/ A quadrature formula for the approximation of Cauchy type singular integrals on the interval Eshkuvatov, Zainidin K. Nik Long, Nik Mohd Asri The paper deals with the construction of an efficient quadrature formula for singular integrals (SI) of Cauchy type. The construction of quadrature formula is based on modification of discrete vortex method and interpolation linear spline. The estimations of errors are obtained in the classes of Hα([−1,1],K) andC1([−1,1]). Numerical analysis arealso given. Hikari 2007 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/12800/1/A%20quadrature%20formula%20for%20the%20approximation%20of%20Cauchy%20type%20singular%20integrals%20on%20the%20interval.pdf Eshkuvatov, Zainidin K. and Nik Long, Nik Mohd Asri (2007) A quadrature formula for the approximation of Cauchy type singular integrals on the interval. International Journal of Mathematical Analysis, 1 (5-8). 355 - 368. ISSN 1312-8876; ESSN: 1314-7579 http://www.m-hikari.com/ijma/ijma-password-2007/ijma-password5-8-2007/index.html |
| spellingShingle | Eshkuvatov, Zainidin K. Nik Long, Nik Mohd Asri A quadrature formula for the approximation of Cauchy type singular integrals on the interval |
| title | A quadrature formula for the approximation of Cauchy type singular integrals on the interval |
| title_full | A quadrature formula for the approximation of Cauchy type singular integrals on the interval |
| title_fullStr | A quadrature formula for the approximation of Cauchy type singular integrals on the interval |
| title_full_unstemmed | A quadrature formula for the approximation of Cauchy type singular integrals on the interval |
| title_short | A quadrature formula for the approximation of Cauchy type singular integrals on the interval |
| title_sort | quadrature formula for the approximation of cauchy type singular integrals on the interval |
| url | http://psasir.upm.edu.my/id/eprint/12800/ http://psasir.upm.edu.my/id/eprint/12800/ http://psasir.upm.edu.my/id/eprint/12800/1/A%20quadrature%20formula%20for%20the%20approximation%20of%20Cauchy%20type%20singular%20integrals%20on%20the%20interval.pdf |