Citation
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).
Abstract
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.
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Additional Metadata
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1063/1.4724130 |
| Publisher: | American Institute of Physics |
| Notes: | Full text are available at Special Collection Division Office. |
| Keywords: | Hypersingular integrals; Singular integrals; Chebyshev series; Interpolation; Automatic quadrature scheme |
| Depositing User: | Erni Suraya Abdul Aziz |
| Date Deposited: | 07 May 2014 00:37 |
| Last Modified: | 08 Sep 2017 03:53 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4724130 |
| URI: | http://psasir.upm.edu.my/id/eprint/27709 |
| Statistic Details: | View Download Statistic |
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