Legendre superconvergent degenerate kernel and Nyström methods for nonlinear integral equations

DOI10.1007/s11253-023-02222-6MaRDI QIDQ6188083

Hamza Bouda, Chafik Allouch, Mohamed Arrai, Mohamed Tahrichi

Publication date: 11 January 2024

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

nonlinear integral equationssuperconvergenceLegendre polynomials

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Singular nonlinear integral equations (45G05)

Cites Work

• Superconvergent Nyström method for Urysohn integral equations
• A survey of numerical methods for solving nonlinear integral equations
• Error analysis for a class of degenerate kernel methods
• Superconvergence of the iterated collocation methods for Hammerstein equations
• Superconvergent product integration method for Hammerstein integral equations
• Superconvergent Nyström and degenerate kernel methods for Hammerstein integral equations
• Asymptotic error analysis of projection and modified projection methods for nonlinear integral equations
• Legendre superconvergent Galerkin-collocation type methods for Hammerstein equations
• 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
• Improvement by Iteration for Compact Operator Equations
• The Numerical Solution of Integral Equations of the Second Kind
• Galerkin's perturbation method and the general theory of approximate methods for non-linear equations
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