Convergence Analysis of Legendre Spectral Galerkin Method for Volterra-Fredholm-Hammerstein Integral Equations

DOI10.1007/978-81-322-2485-3_1zbMath1337.65176OpenAlexW2293041380MaRDI QIDQ2801894

Gnaneshwar Nelakanti, Payel Das

Publication date: 22 April 2016

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-81-322-2485-3_1

zbMATH Keywords

convergencespectral methodLegendre Galerkin methodnonlinear Volterra-Fredholm-Hammerstein integral equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Fredholm integral equations (45B05) Volterra integral equations (45D05)

Related Items (3)

Error analysis of Jacobi–Galerkin method for solving weakly singular Volterra–Hammerstein integral equations ⋮ Modified Galerkin method for Volterra-Fredholm-Hammerstein integral equations ⋮ Galerkin and multi-Galerkin methods for weakly singular Volterra-Hammerstein integral equations and their convergence analysis

Cites Work

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• Regularity of the solution of Hammerstein equations with weakly singular kernel
• Using the Petrov-Galerkin elements for solving Hammerstein integral equations
• The collocation method for Hammerstein equations by Daubechies wavelets
• On the Numerical Solution of Nonlinear Volterra–Fredholm Integral Equations by Collocation Methods
• Computational Methods for Integral Equations
• Spectral Methods
• Galerkin's perturbation method and the general theory of approximate methods for non-linear equations
• A Family of Fourth Order Methods for Nonlinear Equations

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