A new method for solving Hilbert type singular integral equations

DOI10.1016/j.amc.2011.05.078zbMath1228.65246OpenAlexW1973212310MaRDI QIDQ720628

Zhong Chen, YongFang Zhou

Publication date: 11 October 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.05.078

zbMATH Keywords

numerical examplessmooth solutionsnon-smooth solutionsapproximate solutionreproducing kernel spaceHilbert type singular integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (5)

A new efficient method for cases of the singular integral equation of the first kind ⋮ Reproducing kernel method for solving Fredholm integro-differential equations with weakly singularity ⋮ Numerical solution of fractional Bratu type equations with Legendre reproducing kernel method ⋮ Error analysis of reproducing kernel Hilbert space method for solving functional integral equations ⋮ RKM for solving Bratu-type differential equations of fractional order

Cites Work

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• The exact solution of a linear integral equation with weakly singular kernel
• An efficient algorithm for solving Hilbert type singular integral equations of the second kind
• A natural interpolation formula for the numerical solution of singular integral equations with Hilbert kernel
• Numerical Quadrature of Periodic Singular Integral Equations

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