Legendre collocation method and its convergence analysis for the numerical solutions of the conductor-like screening model for real solvents integral equation

zbMath1398.65354MaRDI QIDQ1653968

Esmail Hesameddini, Mehdi Shahbazi

Publication date: 7 August 2018

Published in: Bulletin of Computational Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://drive.google.com/open?id=0B5GyVVQ6O030WXBlcjQ1QkJOVzQ

zbMATH Keywords

error analysisHammerstein integral equationsmatrix equationLegendre polynomialsnumerical treatment

Mathematics Subject Classification ID

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

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Cites Work

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• Convergence analysis of spectral Galerkin methods for Volterra type integral equations
• Convergence analysis of sinc-collocation methods for nonlinear Fredholm integral equations with a weakly singular kernel
• Numerical solution of Volterra-Fredholm integral equations using Legendre collocation method
• Discrete Legendre spectral projection methods for Fredholm-Hammerstein integral equations
• Numerical solution of Hammerstein integral equations of mixed type using the sinc-collocation method
• Comparative experiment on the numerical solutions of Hammerstein integral equation arising from chemical phenomenon
• Numerical solution of linear Volterra integral equations of the second kind with sharp gradients
• Triangular functions (TF) method for the solution of nonlinear Volterra-Fredholm integral equations
• Polynomially based multi-projection methods for Fredholm integral equations of the second kind
• Solution of nonlinear Volterra-Fredholm-Hammerstein integral equations via rationalized Haar functions
• Legendre spectral Galerkin method for second-kind Volterra integral equations
• A survey of numerical methods for solving nonlinear integral equations
• Implicitly linear collocation methods for nonlinear Volterra equations
• Asymptotic error expansion of a collocation-type method for Volterra- Hammerstein integral equations
• Taylor polynomial solution of high-order nonlinear Volterra-Fredholm integro-differential equations
• Taylor polynomial solutions of nonlinear Volterra-Fredholm integral equations
• Superconvergent Nyström and degenerate kernel methods for Hammerstein integral equations
• Solution of nonlinear Volterra-Fredholm-Hammerstein integral equations via a collocation method and rationalized Haar functions
• The discrete multi-projection method for Fredholm integral equations of the second kind
• Taylor collocation method and convergence analysis for the Volterra-Fredholm integral equations
• Theoretical Numerical Analysis
• Numerical Approximate Solutions of Nonlinear FredholmIntegral Equations of Second Kind Using B-splineWavelets and Variational Iteration Method
• On the Numerical Solution of Nonlinear Volterra–Fredholm Integral Equations by Collocation Methods
• The Discrete Galerkin Method for Integral Equations
• Superconvergence of a Collocation-type Method for Hummerstein Equations
• The discrete collocation method for nonlinear integral equations
• Spectral Methods and Their Applications
• A New Collocation-Type Method for Hammerstein Integral Equations
• Superconvergence of the Iterated Galerkin Methods for Hammerstein Equations