Discrete Legendre spectral projection methods for Fredholm-Hammerstein integral equations

DOI10.1016/j.cam.2014.10.012zbMath1304.65266OpenAlexW2084686777MaRDI QIDQ475672

Payel Das, Guangqing Long, Gnaneshwar Nelakanti

Publication date: 27 November 2014

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.2014.10.012

zbMATH Keywords

convergencenumerical examplesnumerical quadraturespectral methoddiscrete Legendre collocation methodsdiscrete Legendre-Galerkin methodsFredholm-Hammerstein integral equationssmooth kernel

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Fredholm integral equations (45B05)

Related Items (26)

Error analysis of Jacobi spectral collocation methods for Fredholm-Hammerstein integral equations with weakly singular kernel ⋮ Discrete Legendre spectral methods for Hammerstein type weakly singular nonlinear Fredholm integral equations ⋮ Discrete projection methods for Hammerstein integral equations on the half-line ⋮ Legendre collocation method and its convergence analysis for the numerical solutions of the conductor-like screening model for real solvents integral equation ⋮ The numerical solution of Fredholm-Hammerstein integral equations by combining the collocation method and radial basis functions ⋮ Convergence analysis of discrete Legendre spectral projection methods for Hammerstein integral equations of mixed type ⋮ Error analysis of reiterated projection methods for Hammerstein integral equations ⋮ The numerical solution of nonlinear integral equations of the second kind using thin plate spline discrete collocation method ⋮ An iterative Nyström-based method to solve nonlinear Fredholm integral equations of the second kind ⋮ Discrete Galerkin and iterated discrete Galerkin methods for derivative-dependent Fredholm-Hammerstein integral equations with Green's kernel ⋮ Legendre superconvergent Galerkin-collocation type methods for Hammerstein equations ⋮ Collocation method for solving two-dimensional nonlinear Volterra-Fredholm integral equations with convergence analysis ⋮ Analysis and spectral element solution of nonlinear integral equations of Hammerstein type ⋮ The numerical solution of nonlinear two-dimensional Volterra-Fredholm integral equations of the second kind based on the radial basis functions approximation with error analysis ⋮ Discrete Legendre spectral Galerkin method for Urysohn integral equations ⋮ Superconvergence of Legendre spectral projection methods for Fredholm-Hammerstein integral equations ⋮ An efficient wavelet-based numerical method to solve nonlinear Fredholm integral equation of second kind with smooth kernel ⋮ Superconvergence results for the nonlinear Fredholm-Hammerstein integral equations of second kind ⋮ Approximation methods for system of nonlinear Fredholm-Hammerstein integral equations ⋮ Approximation methods for second kind weakly singular Volterra integral equations ⋮ Convergence analysis for derivative dependent Fredholm-Hammerstein integral equations with Green's kernel ⋮ A Variant of Projection-Regularization Method for Ill-Posed Linear Operator Equations ⋮ Richardson Extrapolation of Superconvergent Projection-Type Methods for Hammerstein Equations* ⋮ Projection and multi projection methods for nonlinear integral equations on the half-line ⋮ Convergence analysis of Galerkin and multi-Galerkin methods for linear integral equations on half-line using Laguerre polynomials ⋮ A MESHLESS LOCAL GALERKIN METHOD FOR THE NUMERICAL SOLUTION OF HAMMERSTEIN INTEGRAL EQUATIONS BASED ON THE MOVING LEAST SQUARES TECHNIQUE

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