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Numerical evaluation for Cauchy type singular integrals using modification of discrete vortex method and spline approximation


Citation

Eshkuvatov, Zainiddin K. and Nik Long, Nik Mohd Asri (2007) Numerical evaluation for Cauchy type singular integrals using modification of discrete vortex method and spline approximation. Malaysian Journal of Mathematical Sciences, 1 (1). pp. 123-138. ISSN 1823-8343

Abstract / Synopsis

This paper deals with the construction of an efficient quadrature formula for singular integrals (SI) of Cauchy type based on modification of discrete vortex method (MDV) and interpolation linear spline. The estimations of errors are obtained in the classes of Hα(K, [-1,1]) and C1([-1,1]). Numerical analysis are also given.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
Publisher: Universiti Putra Malaysia Press
Keywords: Singular integral; Quadrature formula; Canonic partition; Discrete vortex methods; Approximation; Spline
Depositing User: Najwani Amir Sariffudin
Date Deposited: 21 Apr 2011 16:38
Last Modified: 27 May 2015 14:23
URI: http://psasir.upm.edu.my/id/eprint/11971
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