Quadrature formula for approximating the singular integral of Cauchy type with unbounded weight function on the edges

DOI10.1016/j.cam.2009.07.034zbMath1173.65019OpenAlexW1980400591MaRDI QIDQ732138

M. Abdulkawi, Nik Mohd Asri Nik Long, Zainidin K. Eshkuvatov

Publication date: 9 October 2009

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.2009.07.034

zbMATH Keywords

numerical resultssingular integralerror boundsspline approximationquadrature formulaquadrature formula methoddiscrete vortices methodintegral equations with kernels of Cauchy type

Mathematics Subject Classification ID

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

Related Items (4)

Numerical solution of certain Cauchy singular integral equations using a collocation scheme ⋮ An efficient method for approximate solution of a singular integral equation with Cauchy kernel ⋮ Approximating Cauchy-type singular integral by an automatic quadrature scheme ⋮ Approximating the singular integrals of Cauchy type with weight function on the interval

Cites Work

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• Evaluation of Cauchy principal-value integrals using modified Simpson rules
• 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
• Numerical evaluation of Cauchy principal value integrals based on local spline approximation operators

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