FAST DISCRETE SOLVERS FOR NONLINEAR HAMMERSTIEN EQUATIONS

DOI10.30546/2409-4994.2023.49.2.193OpenAlexW4389253748MaRDI QIDQ6185504

Mohamed Arrai, Hamza Bouda, Chafik Allouch

Publication date: 29 January 2024

Published in: Proceedings of the Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.30546/2409-4994.2023.49.2.193

zbMATH Keywords

superconvergencenumerical quadratureHammerstein equationGauss pointsinterpolatory projectionhyperinterpolation projection

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Approximation by polynomials (41A10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Modified projection method for Urysohn integral equations with non-smooth kernels
• Existence principles for nonlinear resonant operator and integral equations
• Improved convergence rates for some discrete Galerkin methods
• Superconvergence of the iterated collocation methods for Hammerstein equations
• Discrete modified projection method for Urysohn integral equations with smooth kernels
• Polynomial interpolation and hyperinterpolation over general regions
• Superconvergent product integration method for Hammerstein integral equations
• Asymptotic error analysis of projection and modified projection methods for nonlinear integral equations
• Superconvergence of a Collocation-type Method for Hummerstein Equations
• The Numerical Solution of Integral Equations of the Second Kind
• A New Collocation-Type Method for Hammerstein Integral Equations
• Superconvergence of the Iterated Galerkin Methods for Hammerstein Equations
• ASYMPTOTIC EXPANSIONS FOR APPROXIMATE SOLUTIONS OF HAMMERSTEIN INTEGRAL EQUATIONS WITH GREEN'S FUNCTION TYPE KERNELS
• Jacobi Spectral Galerkin Methods for a Class of Nonlinear Weakly Singular Volterra Integral Equations
• Galerkin's perturbation method and the general theory of approximate methods for non-linear equations
• Collocation at Gaussian Points
• Volterra integral and differential equations

This page was built for publication: FAST DISCRETE SOLVERS FOR NONLINEAR HAMMERSTIEN EQUATIONS