SPECTRAL APPROXIMATION METHODS FOR FREDHOLM INTEGRAL EQUATIONS WITH NON-SMOOTH KERNELS

DOI10.3846/mma.2022.16029zbMath1505.65313OpenAlexW4308939286MaRDI QIDQ5052621

Chafik Allouch, Driss Sbibih, Mohamed Tahrichi

Publication date: 25 November 2022

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3846/mma.2022.16029

zbMATH Keywords

Fredholm integral equationsuperconvergenceLegendre polynomialorthogonal projectioninterpolatory projection

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fredholm integral equations (45B05) Theoretical approximation of solutions to integral equations (45L05)

Cites Work

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• Polynomially based multi-projection methods for Fredholm integral equations of the second kind
• Discrete polynomial-based Galerkin methods for Fredholm integral equations
• Improved convergence rates for some discrete Galerkin methods
• Iterated discrete polynomially based Galerkin methods.
• Legendre superconvergent Galerkin-collocation type methods for Hammerstein equations
• Legendre Galerkin method for weakly singular Fredholm integral equations and the corresponding eigenvalue problem
• Projection and Iterated Projection Methods for Nonlinear Integral equations
• On the Discrete Galerkin Method for Fredholm Integral Equations of the Second Kind
• The iterated projection solution for the Fredholm integral equation of second kind
• Improvement by Iteration for Compact Operator Equations
• The Numerical Solution of Integral Equations of the Second Kind
• A superconvergence result for solutions of compact operator equations
• Spectral Methods
• On improvement of the iterated Galerkin solution of the second kind integral equations

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