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A quadrature formula for the approximation of Cauchy type singular integrals on the interval


Citation

Eshkuvatov, Zainidin K. and Nik Long, Nik Mohd Asri (2007) A quadrature formula for the approximation of Cauchy type singular integrals on the interval. International Journal of Mathematical Analysis, 1 (5-8). 355 - 368. ISSN 1312-8876; ESSN: 1314-7579

Abstract

The paper deals with the construction of an efficient quadrature formula for singular integrals (SI) of Cauchy type. The construction of quadrature formula is based on modification of discrete vortex method and interpolation linear spline. The estimations of errors are obtained in the classes of Hα([−1,1],K) andC1([−1,1]). Numerical analysis arealso given.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
Publisher: Hikari
Keywords: Singular integral; Quadrature formula; Canonic partition; Discrete vortex method; Approximation; Spline function
Depositing User: Nurul Ainie Mokhtar
Date Deposited: 04 Jun 2015 02:15
Last Modified: 15 Sep 2015 02:14
URI: http://psasir.upm.edu.my/id/eprint/12800
Statistic Details: View Download Statistic

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