Error analysis of polynomial-based multi-projection methods for a class of nonlinear Fredholm integral equations

DOI10.1007/s12190-016-1059-yzbMath1444.65074OpenAlexW2524808745MaRDI QIDQ1743349

Payel Das, Gnaneshwar Nelakanti

Publication date: 13 April 2018

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

Full work available at URL: https://doi.org/10.1007/s12190-016-1059-y

zbMATH Keywords

superconvergenceLegendre polynomialssmooth kernelmulti-projection methodUrysohn integral equation

Mathematics Subject Classification ID

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

Related Items

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 ⋮ Superconvergence results of Legendre spectral projection methods for weakly singular Fredholm-Hammerstein integral equations ⋮ Approximation methods for system of linear Fredholm integral equations of second kind ⋮ An improved collocation method for solving a fractional integro-differential equation ⋮ Approximation methods for second kind weakly singular Volterra integral equations ⋮ 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 ⋮ Jacobi Spectral Methods for Volterra-Urysohn Integral Equations of Second Kind with Weakly Singular Kernels ⋮ 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

Cites Work

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