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A Chebyshev polynomial based quadrature for hypersingular integrals


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).


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
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