Superconvergent Nyström and degenerate kernel methods for integral equations of the second kind

DOI10.1216/JIE-2012-24-4-463zbMath1261.65136MaRDI QIDQ1942916

Chafik Allouch, Mohamed Tahrichi, Driss Sbibih, Paul Sablonniere

Publication date: 14 March 2013

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jiea/1362669518

zbMATH Keywords

convergencecollocation methodnumerical examplessuperconvergencesecond kind integral equationsmooth kernelKulkarni's method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fredholm integral equations (45B05) Linear integral equations (45A05)

Related Items (14)

Fast and accurate solvers for weakly singular Volterra integral equations in weighted spaces ⋮ Two methods based on bivariate spline quasi-interpolants for solving Fredholm integral equations ⋮ A collocation method for the numerical solution of a two-dimensional integral equation using a quadratic spline quasi-interpolant ⋮ Unnamed Item ⋮ Discrete superconvergent Nyström method for integral equations and eigenvalue problems ⋮ Superconvergent methods based on quasi-interpolating operators for Fredholm integral equations of the second kind. ⋮ Superconvergent Nyström method for Urysohn integral equations ⋮ Discrete superconvergent degenerate kernel method for \textit{Fredholm} integral equations ⋮ A quasi-interpolation product integration based method for solving Love's integral equation with a very small parameter ⋮ Superconvergent Nyström and degenerate kernel methods for Hammerstein integral equations ⋮ Superconvergent product integration method for Hammerstein integral equations ⋮ Richardson extrapolation based on superconvergent Nyström and degenerate kernel methods ⋮ Asymptotic error expansion of the iterated superconvergent Nyström method for Urysohn integral equations ⋮ Non-uniform quasi-interpolation for solving Hammerstein integral equations

Cites Work

• Unnamed Item
• Superconvergent Nyström and degenerate kernel methods for eigenvalue problems
• Integral equations with diagonal and boundary singularities of the kernel
• An acceleration method for integral equations by using interpolation post-processing
• A new superconvergent collocation method for eigenvalue problems
• Extrapolation Using a Modified Projection Method
• Piecewise Continuous Collocation for Integral Equations
• The iterated projection solution for the Fredholm integral equation of second kind
• Improvement by Iteration for Compact Operator Equations
• The Numerical Solution of Integral Equations of the Second Kind
• A superconvergence result for solutions of compact operator equations
• On improvement of the iterated Galerkin solution of the second kind integral equations

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