Numerical evaluation for Cauchy type singular integrals on the interval

被引：7
|
作者：
Eshkuvatov, Z. K. [1 ]
Long, N. M. A. Nik
Abdulkawi, M.
机构：
[1] Univ Putra Malaysia, Dept Math, Selangor Darul Ehsan 43400, Malaysia
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2010年 / 233卷 / 08期
关键词：
Singular integral; Quadrature formula; Discrete vortex method; Canonic partition;
D O I：
10.1016/j.cam.2009.09.034
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 H(alpha) ([-1, 1]) and C([-1, 1]). Numerical examples are shown to validate the QFs constructed. Crown Copyright (C) 2009 Published by Elsevier B.V. All rights reserved.
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页码：1995 / 2001
页数：7
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