Numerical evaluation for Cauchy type singular integrals on the interval.

Numerical evaluation for Cauchy type singular integrals on the interval.

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 Hα([−1,1])Hα([−1,1]) and C1([−1,1])C1([−1,1]...

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Bibliographic Details
Main Authors: Eshkuvatov, Zainiddin K., Nik Long, Nik Mohd Asri, Mahiub, Mohammad Abdulkawi
Format: Article
Language:English
English
Published: Elsevier 2010
Online Access:http://psasir.upm.edu.my/id/eprint/15857/
http://psasir.upm.edu.my/id/eprint/15857/1/Numerical%20evaluation%20for%20Cauchy%20type%20singular%20integrals%20on%20the%20interval.pdf

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