Legendre superconvergent Galerkin-collocation type methods for Hammerstein equations

DOI10.1016/j.cam.2018.12.040zbMath1433.65346OpenAlexW2907577136MaRDI QIDQ2423513

Chafik Allouch, Mohamed Tahrichi, Driss Sbibih

Publication date: 20 June 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.2018.12.040

zbMATH Keywords

superconvergenceLegendre polynomialHammerstein equationorthogonal projectioninterpolatory projection

Mathematics Subject Classification ID

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

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Cites Work

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• Legendre spectral projection methods for Fredholm-Hammerstein integral equations
• The numerical solution of Hammerstein equations by a method based on polynomial collocation
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• A New Collocation-Type Method for Hammerstein Integral Equations
• Superconvergence of the Iterated Galerkin Methods for Hammerstein Equations
• Error Analysis of Discrete Legendre Multi-Projection Methods for Nonlinear Fredholm Integral Equations
• Galerkin's perturbation method and the general theory of approximate methods for non-linear equations

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