Piecewise constant Galerkin method for a class of Cauchy singular integral equations of the second kind in \(L^2\)

DOI10.1016/J.CAM.2017.05.028zbMath1370.65078OpenAlexW2621419064MaRDI QIDQ2012605

Abdelaziz Mennouni

Publication date: 1 August 2017

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.2017.05.028

zbMATH Keywords

convergencenumerical exampleGalerkin methoderror analysisprojection methodCauchy kernelCauchy singular integral equationpiecewise constant functions

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations with kernels of Cauchy type (45E05)

Related Items (3)

Airfoil collocation method employing a new efficient procedure for solving system of two logarithmic integro-differential equations ⋮ A numerical method for solving systems of hypersingular integro-differential equations ⋮ Three methods to solve two classes of integral equations of the second kind

Cites Work

• Unnamed Item
• On the numerical solution of Cauchy type singular integral equations by the collocation method
• The convergence of a collocation method for a class of Cauchy singular integral equations
• Two projection methods for skew-Hermitian operator equations
• Some remarks on the numerical solution of cauchy-type singular integral equations with index equal to —1
• Superconvergence of Some Projection Approximations for Weakly Singular Integral Equations Using General Grids

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