Spectral collocation method for solving Fredholm integral equations on the half-line

DOI10.1016/j.amc.2013.03.043zbMath1288.65190OpenAlexW1995529728MaRDI QIDQ2453326

Azedine Rahmoune

Publication date: 6 June 2014

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.03.043

zbMATH Keywords

collocation methodGaussian quadratureintegral equations on the half-linescaled Laguerre polynomials/functions

Mathematics Subject Classification ID

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

Related Items (11)

Numerical treatment of singular integral equation in unbounded domain ⋮ Numerical solution of initial-boundary system of nonlinear hyperbolic equations ⋮ Convergence analysis of Galerkin and multi-Galerkin methods for nonlinear-Hammerstein integral equations on the half-line using Laguerre polynomials ⋮ AN EFFECTIVE AND SIMPLE SCHEME FOR SOLVING NONLINEAR FREDHOLM INTEGRAL EQUATIONS ⋮ Efficient spectral-collocation methods for a class of linear Fredholm integro-differential equations on the half-line ⋮ Application of Newton–Cotes quadrature rule for nonlinear Hammerstein integral equations ⋮ Modified Legendre rational and exponential collocation methods for solving nonlinear Hammerstein integral equations on the semi-infinite domain ⋮ Sinc-Nyström methods for Fredholm integral equations of the second kind over infinite intervals ⋮ Discrete projection methods for Fredholm-Hammerstein integral equations using Kumar and Sloan technique ⋮ An \(hp\)-version Chebyshev collocation method for nonlinear fractional differential equations ⋮ Convergence analysis of Galerkin and multi-Galerkin methods for linear integral equations on half-line using Laguerre polynomials

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