A splitting iterative method for solving second kind integral equations in reproducing kernel spaces

DOI10.1016/j.cam.2017.05.025zbMath1370.65074OpenAlexW2715905448MaRDI QIDQ2012601

Esmail Babolian, Danial Hamedzadeh

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.2017.05.025

zbMATH Keywords

convergencenumerical examplesiterative methodsreproducing kernel spaceintegral equation of second kindreproducing kernel theory

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Fredholm integral equations (45B05) Linear integral equations (45A05)

Related Items (10)

Numerical solution for a class of space-time fractional equation by the piecewise reproducing kernel method ⋮ Combining the reproducing kernel method with a practical technique to solve the system of nonlinear singularly perturbed boundary value problems ⋮ Reproducing kernel method to solve parabolic partial differential equations with nonlocal conditions ⋮ Reproducing kernel method to solve non-local fractional boundary value problem ⋮ Covariance estimation error of incomplete functional data under RKHS framework ⋮ A new reproducing kernel collocation method for nonlocal fractional boundary value problems with non-smooth solutions ⋮ Reproducing kernel method to solve fractional delay differential equations ⋮ A novel method for a fractional derivative with non-local and non-singular kernel ⋮ Superconvergent kernel functions approaches for the second kind Fredholm integral equations ⋮ IMPLEMENTING REPRODUCING KERNEL METHOD TO SOLVE SINGULARLY PERTURBED CONVECTION-DIFFUSION PARABOLIC PROBLEMS

Cites Work

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• A shooting reproducing kernel Hilbert space method for multiple solutions of nonlinear boundary value problems
• A new algorithm for a class of linear nonlocal boundary value problems based on the reproducing kernel method
• Representation of the exact solution and a stability analysis on the Fredholm integral equation of the first kind in reproducing kernel space
• A new iterative method for solving linear Fredholm integral equations using the least squares method
• The exact solution of a linear integral equation with weakly singular kernel
• The exact solution and stability analysis for integral equation of third or first kind with singular kernel
• An efficient algorithm for solving Hilbert type singular integral equations of the second kind
• Reproducing kernel spaces and applications
• Reproducing kernel method for solving Fredholm integro-differential equations with weakly singularity
• Some error estimates for solving Volterra integral equations by using the reproducing kernel method
• Error analysis of reproducing kernel Hilbert space method for solving functional integral equations

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