Convergence analysis of Legendre spectral projection methods for Hammerstein integral equations of mixed type

DOI10.1007/s12190-014-0852-8zbMath1327.65275OpenAlexW2059592520MaRDI QIDQ500015

Payel Das, Mitali Madhumita Sahani, Gnaneshwar Nelakanti

Publication date: 7 October 2015

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-014-0852-8

zbMATH Keywords

collocation methodGalerkin methoderror estimatesFredholm integral equationHammerstein integral equationLegendre polynomialsmixed typesmooth kernelssuperconvergence rates

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)

Related Items (6)

Projected Tikhonov regularization method for Fredholm integral equations of the first kind ⋮ Numerical solution for system of nonlinear Fredholm–Hammerstein integral equations based on hybrid Bernstein Block-Pulse functions with the Gauss quadrature rule ⋮ Discrete Legendre spectral Galerkin method for Urysohn integral equations ⋮ A Variant of Projection-Regularization Method for Ill-Posed Linear Operator Equations ⋮ Chebyshev spectral projection methods for Fredholm integral equations of the second kind ⋮ Legendre spectral projection methods for weakly singular Hammerstein integral equations of mixed type

Cites Work

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• Spectral Methods
• Projection and Iterated Projection Methods for Nonlinear Integral equations
• Spectral Methods and Their Applications
• Spectral Methods
• Galerkin's perturbation method and the general theory of approximate methods for non-linear equations
• Numerical Solvability of Hammerstein Integral Equations of Mixed Type

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