Convergence analysis of discrete Legendre spectral projection methods for Hammerstein integral equations of mixed type

DOI10.1016/j.amc.2015.05.100zbMath1410.65489OpenAlexW648302553MaRDI QIDQ1664246

Gnaneshwar Nelakanti, Payel Das

Publication date: 24 August 2018

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

Full work available at URL: https://doi.org/10.1016/j.amc.2015.05.100

zbMATH Keywords

Hammerstein integral equationsnumerical quadratureLegendre polynomialssuperconvergence ratesdiscrete collocationdiscrete Galerkin

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Approximation by polynomials (41A10)

Related Items (7)

Discrete Legendre spectral methods for Hammerstein type weakly singular nonlinear Fredholm integral equations ⋮ Hyperinterpolation for Spectral Wave Propagation Models in Three Dimensions ⋮ Erratum to: ``Discrete Legendre spectral projection methods for Fredholm-Hammerstein integral equations ⋮ Numerical solution of nonlinear mixed Volterra-Fredholm integral equations in complex plane via PQWs ⋮ Approximation methods for second kind weakly singular Volterra integral 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

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