Approximating the singular integrals of Cauchy type with weight function on the interval

DOI10.1016/j.cam.2010.09.013zbMath1220.65031OpenAlexW2001183593MaRDI QIDQ555162

Zainidin K. Eshkuvatov, Nik Mohd Asri Nik Long

Publication date: 22 July 2011

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2010.09.013

zbMATH Keywords

numerical resultssingular integralerror estimatesquadrature formuladiscrete vortex methodcharacteristic singular integral equationslinear spline interpolationsingular integrals of Cauchy type

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Integral equations with kernels of Cauchy type (45E05)

Related Items (2)

Approximate solution of a singular integral equation using the Sobolev method ⋮ Approximate solution of first kind singular integral equation with generalized kernel using Legendre multiwavelets

Cites Work

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• The numerical evaluation of a class of logarithmically singular integral transforms
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• Application of a modified FFT to product type integration
• Proof of the numerical method of 'discrete vortices' for solving singular integral equations
• Numerical integration of functions with poles near the interval of integration
• On direct numerical treatment of hypersingular integral equations arising in mechanics and acoustics
• Gaussian quadrature formulae of the third kind for Cauchy principal value integrals: Basic properties and error estimates
• Quadrature rule for indefinite integral of algebraic-logarithmic singular integrands
• Numerical evaluation of Cauchy principal value integrals based on local spline approximation operators

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