Superconvergence of Legendre spectral projection methods for Fredholm-Hammerstein integral equations

DOI10.1016/j.cam.2017.01.027zbMath1360.65308OpenAlexW2584285487MaRDI QIDQ515794

Gnaneshwar Nelakanti, Moumita Mandal

Publication date: 16 March 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.2017.01.027

zbMATH Keywords

numerical exampleiteration methodsuperconvergenceprojection methodLegendre polynomialFredholm-Hammerstein integral equationssmooth kernelsmulti-collocation methodmulti-Galerkin methodmulti-projection method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Fredholm integral equations (45B05)

Related Items (21)

Discrete Legendre spectral methods for Hammerstein type weakly singular nonlinear Fredholm integral equations ⋮ Legendre multi-Galerkin methods for Fredholm integral equations with weakly singular kernel and the corresponding eigenvalue problem ⋮ Convergence analysis of Galerkin and multi-Galerkin methods for nonlinear-Hammerstein integral equations on the half-line using Laguerre polynomials ⋮ Modified Galerkin method for Volterra-Fredholm-Hammerstein integral equations ⋮ Approximate solution of nonlinear Fredholm integral equations of the second kind using a class of Hermite interpolation polynomials ⋮ Error analysis of reiterated projection methods for Hammerstein integral equations ⋮ Spectral approximation methods for nonlinear integral equations with non-smooth kernels ⋮ Legendre superconvergent Galerkin-collocation type methods for Hammerstein equations ⋮ Spectral Methods For Hammerstein Integral Equations with Nonsmooth Kernels ⋮ Superconvergence results of Legendre spectral projection methods for weakly singular Fredholm-Hammerstein integral equations ⋮ Superconvergence Results for Weakly Singular Fredholm–Hammerstein Integral Equations ⋮ Jacobi Spectral Galerkin Methods for a Class of Nonlinear Weakly Singular Volterra Integral Equations ⋮ Approximation methods for system of linear Fredholm integral equations of second kind ⋮ Superconvergence results for the nonlinear Fredholm-Hammerstein integral equations of second kind ⋮ Convergence analysis for derivative dependent Fredholm-Hammerstein integral equations with Green's kernel ⋮ Convergence analysis of Galerkin and multi-Galerkin methods on unbounded interval using Hermite polynomials ⋮ Projection and multi projection methods for nonlinear integral equations on the half-line ⋮ Numerical solutions of weakly singular Hammerstein integral equations ⋮ Legendre spectral Galerkin and multi-Galerkin methods for nonlinear Volterra integral equations of Hammerstein type ⋮ Convergence analysis of Galerkin and multi-Galerkin methods for linear integral equations on half-line using Laguerre polynomials ⋮ Projection methods for approximate solution of a class of nonlinear Fredholm integro-differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Convergence analysis of spectral Galerkin methods for Volterra type integral equations
• A fast multiscale solver for modified Hammerstein equations
• Discrete Legendre spectral projection methods for Fredholm-Hammerstein integral equations
• Superconvergence of Legendre projection methods for the eigenvalue problem of a compact integral operator
• Polynomially based multi-projection methods for Fredholm integral equations of the second kind
• Legendre spectral Galerkin method for second-kind Volterra integral equations
• Numerical solutions for weakly singular Hammerstein equations and their superconvergence
• Superconvergence of the iterated collocation methods for Hammerstein equations
• Wavelet applications to the Petrov--Galerkin method for Hammerstein equations
• Multilevel augmentation methods with matrix compression for solving reformulated Hammerstein equations
• Modified projection and the iterated modified projection methods for nonlinear integral equations
• The discrete multi-projection method for Fredholm integral equations of the second kind
• Spectral Methods
• Superconvergence of the iterated degenerate kernel method
• The numerical solution of Hammerstein equations by a method based on polynomial collocation
• Degenerate Kernel Method for Hammerstein Equations
• Superconvergence of a Collocation-type Method for Hummerstein Equations
• A Discrete Collocation-Type Method for Hammerstein Equations
• The discrete collocation method for nonlinear integral equations
• Spectral Methods and Their Applications
• A New Collocation-Type Method for Hammerstein Integral Equations
• Superconvergence of the Iterated Galerkin Methods for Hammerstein Equations
• Superconvergence of interpolated collocation solutions for Hammerstein equations
• Spectral Methods
• Galerkin's perturbation method and the general theory of approximate methods for non-linear equations

This page was built for publication: Superconvergence of Legendre spectral projection methods for Fredholm-Hammerstein integral equations