Discrete Legendre spectral Galerkin method for Urysohn integral equations

DOI10.1080/00207160.2017.1294687zbMath1398.65349OpenAlexW2591242032MaRDI QIDQ4641564

Gnaneshwar Nelakanti, Guangqing Long, Payel Das

Publication date: 17 May 2018

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2017.1294687

zbMATH Keywords

superconvergencespectral methodUrysohn integral equationsLegendre polynomialsdiscrete Galerkin method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Fredholm integral equations (45B05)

Related Items (3)

Discrete Legendre spectral methods for Hammerstein type weakly singular nonlinear Fredholm integral equations ⋮ Discrete projection methods for Hammerstein integral equations on the half-line ⋮ Discrete projection methods for Fredholm-Hammerstein integral equations using Kumar and Sloan technique

Cites Work

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• The discrete Galerkin method for nonlinear integral equations
• Improved convergence rates for some discrete Galerkin methods
• Polynomial interpolation and hyperinterpolation over general regions
• Legendre spectral projection methods for Urysohn integral equations
• On the norm of the hyperinterpolation operator on the unit disc and its use for the solution of the nonlinear Poisson equation
• The Discrete Galerkin Method for Integral Equations
• Projection and Iterated Projection Methods for Nonlinear Integral equations
• Spectral Methods and Their Applications
• Galerkin's perturbation method and the general theory of approximate methods for non-linear equations

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