Numerical evaluation for Cauchy type singular integrals using modification of discrete vortex method and spline approximation
This paper deals with the construction of an efficient quadrature formula for singular integrals (SI) of Cauchy type based on modification of discrete vortex method (MDV) and interpolation linear spline. The estimations of errors are obtained in the classes of Hα(K, [-1,1]) and C1([-1,1]). Numerical...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Universiti Putra Malaysia Press
2007
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/11971/1/11971.pdf |
| _version_ | 1825944966794313728 |
|---|---|
| author | Eshkuvatov, Zainiddin K. Nik Long, Nik Mohd Asri |
| author_facet | Eshkuvatov, Zainiddin K. Nik Long, Nik Mohd Asri |
| author_sort | Eshkuvatov, Zainiddin K. |
| collection | UPM |
| description | This paper deals with the construction of an efficient quadrature formula for singular integrals (SI) of Cauchy type based on modification of discrete vortex method (MDV) and interpolation linear spline. The estimations of errors are obtained in the classes of Hα(K, [-1,1]) and C1([-1,1]). Numerical analysis are also given. |
| first_indexed | 2024-03-06T07:24:10Z |
| format | Article |
| id | upm.eprints-11971 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T07:24:10Z |
| publishDate | 2007 |
| publisher | Universiti Putra Malaysia Press |
| record_format | dspace |
| spelling | upm.eprints-119712015-05-27T06:23:44Z http://psasir.upm.edu.my/id/eprint/11971/ Numerical evaluation for Cauchy type singular integrals using modification of discrete vortex method and spline approximation Eshkuvatov, Zainiddin K. Nik Long, Nik Mohd Asri This paper deals with the construction of an efficient quadrature formula for singular integrals (SI) of Cauchy type based on modification of discrete vortex method (MDV) and interpolation linear spline. The estimations of errors are obtained in the classes of Hα(K, [-1,1]) and C1([-1,1]). Numerical analysis are also given. Universiti Putra Malaysia Press 2007 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/11971/1/11971.pdf Eshkuvatov, Zainiddin K. and Nik Long, Nik Mohd Asri (2007) Numerical evaluation for Cauchy type singular integrals using modification of discrete vortex method and spline approximation. Malaysian Journal of Mathematical Sciences, 1 (1). pp. 123-138. ISSN 1823-8343 http://einspem.upm.edu.my/journal/volume1.1.php |
| spellingShingle | Eshkuvatov, Zainiddin K. Nik Long, Nik Mohd Asri Numerical evaluation for Cauchy type singular integrals using modification of discrete vortex method and spline approximation |
| title | Numerical evaluation for Cauchy type singular integrals using modification of discrete vortex method and spline approximation |
| title_full | Numerical evaluation for Cauchy type singular integrals using modification of discrete vortex method and spline approximation |
| title_fullStr | Numerical evaluation for Cauchy type singular integrals using modification of discrete vortex method and spline approximation |
| title_full_unstemmed | Numerical evaluation for Cauchy type singular integrals using modification of discrete vortex method and spline approximation |
| title_short | Numerical evaluation for Cauchy type singular integrals using modification of discrete vortex method and spline approximation |
| title_sort | numerical evaluation for cauchy type singular integrals using modification of discrete vortex method and spline approximation |
| url | http://psasir.upm.edu.my/id/eprint/11971/1/11971.pdf |
| work_keys_str_mv | AT eshkuvatovzainiddink numericalevaluationforcauchytypesingularintegralsusingmodificationofdiscretevortexmethodandsplineapproximation AT niklongnikmohdasri numericalevaluationforcauchytypesingularintegralsusingmodificationofdiscretevortexmethodandsplineapproximation |