Numerical evaluation for Cauchy type singular integrals on the interval.
The singular integral (SI) with the Cauchy kernel is considered. New quadrature formulas (QFs) based on the modification of discrete vortex method to approximate SI are constructed. Convergence of QFs and error bounds are shown in the classes of functions Hα([−1,1])Hα([−1,1]) and C1([−1,1])C1([−1,1]...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English English |
| Published: |
Elsevier
2010
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/15857/ http://psasir.upm.edu.my/id/eprint/15857/1/Numerical%20evaluation%20for%20Cauchy%20type%20singular%20integrals%20on%20the%20interval.pdf |
| _version_ | 1848842796784418816 |
|---|---|
| author | Eshkuvatov, Zainiddin K. Nik Long, Nik Mohd Asri Mahiub, Mohammad Abdulkawi |
| author_facet | Eshkuvatov, Zainiddin K. Nik Long, Nik Mohd Asri Mahiub, Mohammad Abdulkawi |
| author_sort | Eshkuvatov, Zainiddin K. |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The singular integral (SI) with the Cauchy kernel is considered. New quadrature formulas (QFs) based on the modification of discrete vortex method to approximate SI are constructed. Convergence of QFs and error bounds are shown in the classes of functions Hα([−1,1])Hα([−1,1]) and C1([−1,1])C1([−1,1]). Numerical examples are shown to validate the QFs constructed. |
| first_indexed | 2025-11-15T08:04:50Z |
| format | Article |
| id | upm-15857 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T08:04:50Z |
| publishDate | 2010 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-158572015-09-10T03:03:12Z http://psasir.upm.edu.my/id/eprint/15857/ Numerical evaluation for Cauchy type singular integrals on the interval. Eshkuvatov, Zainiddin K. Nik Long, Nik Mohd Asri Mahiub, Mohammad Abdulkawi The singular integral (SI) with the Cauchy kernel is considered. New quadrature formulas (QFs) based on the modification of discrete vortex method to approximate SI are constructed. Convergence of QFs and error bounds are shown in the classes of functions Hα([−1,1])Hα([−1,1]) and C1([−1,1])C1([−1,1]). Numerical examples are shown to validate the QFs constructed. Elsevier 2010-02-15 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/15857/1/Numerical%20evaluation%20for%20Cauchy%20type%20singular%20integrals%20on%20the%20interval.pdf Eshkuvatov, Zainiddin K. and Nik Long, Nik Mohd Asri and Mahiub, Mohammad Abdulkawi (2010) Numerical evaluation for Cauchy type singular integrals on the interval. Journal of Computational and Applied Mathematics, 233 (8). pp. 1995-2001. ISSN 0377-0427 10.1016/j.cam.2009.09.034 English |
| spellingShingle | Eshkuvatov, Zainiddin K. Nik Long, Nik Mohd Asri Mahiub, Mohammad Abdulkawi Numerical evaluation for Cauchy type singular integrals on the interval. |
| title | Numerical evaluation for Cauchy type singular integrals on the interval. |
| title_full | Numerical evaluation for Cauchy type singular integrals on the interval. |
| title_fullStr | Numerical evaluation for Cauchy type singular integrals on the interval. |
| title_full_unstemmed | Numerical evaluation for Cauchy type singular integrals on the interval. |
| title_short | Numerical evaluation for Cauchy type singular integrals on the interval. |
| title_sort | numerical evaluation for cauchy type singular integrals on the interval. |
| url | http://psasir.upm.edu.my/id/eprint/15857/ http://psasir.upm.edu.my/id/eprint/15857/ http://psasir.upm.edu.my/id/eprint/15857/1/Numerical%20evaluation%20for%20Cauchy%20type%20singular%20integrals%20on%20the%20interval.pdf |