Title of article
Numerical evaluation for Cauchy type singular integrals on the interval
Author/Authors
Eshkuvatov، نويسنده , , Z.K. and Nik Long، نويسنده , , N.M.A. and Abdulkawi، نويسنده , , M.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
7
From page
1995
To page
2001
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 H α ( [ − 1 , 1 ] ) and C 1 ( [ − 1 , 1 ] ) . Numerical examples are shown to validate the QFs constructed.
Keywords
Singular integral , quadrature formula , Discrete vortex method , Canonic partition
Journal title
Journal of Computational and Applied Mathematics
Serial Year
2010
Journal title
Journal of Computational and Applied Mathematics
Record number
1555498
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