Error Analysis of Discrete Legendre Multi-Projection Methods for Nonlinear Fredholm Integral Equations

DOI10.1080/01630563.2016.1248563zbMath1376.65154OpenAlexW2597763973MaRDI QIDQ5357016

Gnaneshwar Nelakanti, Payel Das

Publication date: 13 September 2017

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2016.1248563

zbMATH Keywords

error boundssuperconvergenceUrysohn integral equationsLegendre polynomialssmooth kernelmulti-projection methodsGalerkin and collocation schemes

Mathematics Subject Classification ID

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

Related Items (9)

Discrete projection methods for Hammerstein integral equations on the half-line ⋮ Convergence analysis of Galerkin and multi-Galerkin methods for nonlinear-Hammerstein integral equations on the half-line using Laguerre polynomials ⋮ A sigmoid method for some nonlinear Fredholm integral equations of the second kind ⋮ Error analysis of reiterated projection methods for Hammerstein integral equations ⋮ Legendre superconvergent Galerkin-collocation type methods for Hammerstein equations ⋮ Discrete projection methods for Fredholm-Hammerstein integral equations using Kumar and Sloan technique ⋮ Convergence analysis of Galerkin and multi-Galerkin methods on unbounded interval using Hermite polynomials ⋮ Projection and multi projection methods for nonlinear integral equations on the half-line ⋮ Convergence analysis of Galerkin and multi-Galerkin methods for linear integral equations on half-line using Laguerre polynomials

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