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Automatic quardrature sceheme for evaluating hypersingular intergrals.


Obaiys, Susan J. and Eshkuratov, Zainidin K. and Nik Long, Nik Mohd Asri (2012) Automatic quardrature sceheme for evaluating hypersingular intergrals. International Journal of Modern Physics: Conference Series, 9 (2012). pp. 581-585. ISSN 2010-1945


Hasegawa constructed the automatic quadrature scheme (AQS), of Cauchy principle value integrals for smooth functions. There is a close connection between Hadamard and Cauchy principle value integral. In this paper, we modify AQS for hypersingular integrals with second-order singularities, using hasegawa’s formula and based on therelations between Hadamard finite part integral and Cauchy principle value integral.Numerical experiments are also given, to validate the modified AQS.

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Additional Metadata

Item Type: Article
Divisions: Institute for Mathematical Research
DOI Number: https://doi.org/10.1142/S2010194512005697
Publisher: World Scientific Publishing Company
Keywords: Hypersingular integrals1; Finite part 2; Automatic quadrature 3.
Depositing User: Nur Farahin Ramli
Date Deposited: 23 Oct 2013 09:10
Last Modified: 22 Sep 2014 12:41
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1142/S2010194512005697
URI: http://psasir.upm.edu.my/id/eprint/25308
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