Numerical evaluation for Cauchy type singular integrals on the interval.

Citation

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

Abstract

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.

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Additional Metadata

Item Type:	Article
Divisions:	Faculty of Science
DOI Number:	https://doi.org/10.1016/j.cam.2009.09.034
Publisher:	Elsevier
Keywords:	Singular integral; Quadrature formula; Discrete vortex method; Canonic partition.
Depositing User:	Najwani Amir Sariffudin
Date Deposited:	25 Jul 2013 07:15
Last Modified:	10 Sep 2015 03:03
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1016/j.cam.2009.09.034
URI:	http://psasir.upm.edu.my/id/eprint/15857
Statistic Details:	View Download Statistic

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