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

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

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Official URL: http://einspem.upm.edu.my/journal/volume1.1.php

Abstract

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.

Item Type:Article
Keyword:Singular integral; Quadrature formula; Canonic partition; Discrete vortex methods; Approximation; Spline
Faculty or Institute:Faculty of Science
Institute for Mathematical Research
Publisher:Universiti Putra Malaysia Press
ID Code:11971
Deposited By: Najwani Amir Sariffudin
Deposited On:21 Apr 2011 16:38
Last Modified:27 May 2015 14:23

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