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

DOI10.1016/j.cam.2018.09.032zbMath1405.65173OpenAlexW2893968173MaRDI QIDQ1713092

Moumita Mandal, Gnaneshwar Nelakanti

Publication date: 24 January 2019

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.2018.09.032

zbMATH Keywords

Galerkin methodLegendre polynomialweakly singular kernelsFredholm-Hammerstein integral equationssuperconvergence ratesmulti-Galerkin method

Mathematics Subject Classification ID

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

Related Items (16)

Error analysis of Jacobi–Galerkin method for solving weakly singular Volterra–Hammerstein integral equations ⋮ Discrete Legendre spectral methods for Hammerstein type weakly singular nonlinear Fredholm integral equations ⋮ Convergence analysis of Galerkin and multi-Galerkin methods for nonlinear-Hammerstein integral equations on the half-line using Laguerre polynomials ⋮ Galerkin and multi-Galerkin methods for weakly singular Volterra-Hammerstein integral equations and their convergence analysis ⋮ Spectral approximation methods for nonlinear integral equations with non-smooth kernels ⋮ Two-dimensional Jacobi pseudospectral quadrature solutions of two-dimensional fractional Volterra integral equations ⋮ Superconvergent multi-Galerkin method for nonlinear Fredholm-Hammerstein integral equations ⋮ Spectral Methods For Hammerstein Integral Equations with Nonsmooth Kernels ⋮ 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 ⋮ Error analysis of Jacobi spectral Galerkin and multi-Galerkin methods for weakly singular Volterra integral equations ⋮ 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 ⋮ Jacobi Spectral Methods for Volterra-Urysohn Integral Equations of Second Kind with Weakly Singular Kernels ⋮ FRACTIONAL HERMITE DEGENERATE KERNEL METHOD FOR LINEAR FREDHOLM INTEGRAL EQUATIONS INVOLVING ENDPOINT WEAK SINGULARITIES

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