Convergence analysis for numerical solution of Fredholm integral equation by sinc approximation

DOI10.1016/j.cnsns.2010.09.034zbMath1221.65335OpenAlexW1975455401MaRDI QIDQ718563

Khosrow Maleknejad, Reza Mollapourasl, Mahdieh Alizadeh

Publication date: 23 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2010.09.034

zbMATH Keywords

collocation methodintegral equationFredholm typesinc approximation

Mathematics Subject Classification ID

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

Related Items (9)

Lagrange-Sturm-Liouville processes ⋮ Projected Tikhonov regularization method for Fredholm integral equations of the first kind ⋮ A numerical study of parabolic problems with nonlinear boundary conditions ⋮ On the existence of solutions of nonlinear Fredholm integral equations from Kantorovich's technique ⋮ Unnamed Item ⋮ Convergence analysis of sinc-collocation methods for nonlinear Fredholm integral equations with a weakly singular kernel ⋮ Numerical solution of Hammerstein integral equations of mixed type using the sinc-collocation method ⋮ Recovering the electrical conductivity of the soil via a linear integral model ⋮ Solving the linear integral equations based on radial basis function interpolation

Cites Work

• Unnamed Item
• Wavelets: Properties and approximate solution of a second kind integral equation
• Using rationalized Haar wavelet for solving linear integral equations
• Existence of solutions for some nonlinear integral equations
• Convergence of approximate solution of nonlinear Fredholm-Hammerstein integral equations
• Wavelet moment method for solving Fredholm integral equations of the first kind
• A sinc-collocation method for the linear Fredholm integro-differential equations
• Direct method to solve Volterra integral equation of the first kind using operational matrix with block-pulse functions
• A product integration approach based on new orthogonal polynomials for nonlinear weakly singular integral equations
• Numerical solution of Fredholm integral equations of the first kind by using linear Legendre multi-wavelets
• The iterated Galerkin method for linear integro-differential equations
• Recent developments of the Sinc numerical methods.
• Wavelet-Galerkin method for integro-differential equations
• Numerical solution of integral equations by means of the sinc collocation method based on the double exponential transformation
• The Numerical Solution of Integral Equations of the Second Kind
• Near optimality of the sinc approximation
• The method of moments for solution of second kind Fredholm integral equations based on B-spline wavelets

This page was built for publication: Convergence analysis for numerical solution of Fredholm integral equation by sinc approximation