A new efficient method with error analysis for solving the second kind Fredholm integral equation with Cauchy kernel

DOI10.1016/j.cam.2016.01.011zbMath1416.65528OpenAlexW2277667112MaRDI QIDQ5964617

Hossein Beyrami, Taher Lotfi, Katayoun Mahdiani

Publication date: 29 February 2016

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.2016.01.011

zbMATH Keywords

Fredholm integral equationsingular integral equationCauchy kernelreproducing kernel Hilbert space methodgraded meshsmooth transformation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fredholm integral equations (45B05) Integral equations with kernels of Cauchy type (45E05)

Related Items (8)

Numerical solution of certain Cauchy singular integral equations using a collocation scheme ⋮ An effective collocation technique to solve the singular Fredholm integral equations with Cauchy kernel ⋮ AN EFFECTIVE AND SIMPLE SCHEME FOR SOLVING NONLINEAR FREDHOLM INTEGRAL EQUATIONS ⋮ A novel method with error analysis for the numerical solution of a logarithmic singular Fredholm integral equation ⋮ An efficient method for approximate solution of a singular integral equation with Cauchy kernel ⋮ Clenshaw-Curtis-type quadrature rule for hypersingular integrals with highly oscillatory kernels ⋮ Stability and error analysis of the reproducing kernel Hilbert space method for the solution of weakly singular Volterra integral equation on graded mesh ⋮ LSMR iterative method for solving one- and two-dimensional linear Fredholm integral equations

Uses Software

• Matlab
• Octave

Cites Work

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