Approximate solution of perturbed Volterra-Fredholm integrodifferential equations by Chebyshev-Galerkin method

DOI10.1155/2017/8213932zbMath1477.65269OpenAlexW2575866937WikidataQ59146531 ScholiaQ59146531MaRDI QIDQ2421757

Yanyan Li

Publication date: 18 June 2019

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

Full work available at URL: https://doi.org/10.1155/2017/8213932

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Fredholm integral equations (45B05) Volterra integral equations (45D05)

Related Items (2)

Perturbed Galerkin method for solving integro-differential equations ⋮ A new difference method for the singularly perturbed Volterra-Fredholm integro-differential equations on a Shishkin mesh

Cites Work

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• Legendre-Galerkin method for the linear Fredholm integro-differential equations
• Chebyshev polynomials for solving two dimensional linear and nonlinear integral equations of the second kind
• Numerical solution of Fredholm integral equations of the second kind by using integral mean value theorem
• Galerkin finite element method for one nonlinear integro-differential model
• He's homotopy perturbation method: an effective tool for solving nonlinear integral and integro-differential equations
• Comparison of Legendre polynomial approximation and variational iteration method for the solutions of general linear Fredholm integro-differential equations
• The approximate solution of initial-value problems for general Volterra integro-differential equations
• A Tau method based on non-uniform space-time elements for the numerical simulation of solitons
• Spline collocation methods for Fredholm-Volterra integro-differential equations of high order
• Spline collocation methods for Fredholm integro-differential equations of second order
• Tau numerical solution of Fredholm integro-differential equations with arbitrary polynomial bases
• Numerical solution of a class of integro-differential equations by the tau method with an error estimation
• Improved Bessel collocation method for linear Volterra integro-differential equations with piecewise intervals and application of a Volterra population model
• A Taylor collocation method for the approximate solution of general linear Fredholm-Volterra integro-difference equations with mixed argument
• Numerical solution of nonlinear Volterra integral equations of the second kind by using Chebyshev polynomials
• Radial basis function networks in the numerical solution of linear integro-differential equations
• Numerical solutions of integral and integro-differential equations using Legendre polynomials
• Numerical solution of the general form linear Fredholm-Volterra integro-differential equations by the tau method with an error estimation
• Extension of generalized recursive Tau method to non-linear ordinary differential equations
• Approximate solution of a class of linear integro-differential equations by Taylor expansion method
• Convergence of a Block-by-Block Method for Nonlinear Volterra Integro-Differential Equations
• On Certain Extrapolation Methods for the Numerical Solution of Integro-Differential Equations
• Stability Results for One-Step Discretized Collocation Methods in the Numerical Treatment of Volterra Integral Equations
• Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials
• Linear Multistep Methods for Volterra Integro-Differential Equations
• Chebyshev Galerkin method for integro-differential equations of the second kind
• The approximate solution of high-order linear Volterra-Fredholm integro-differential equations in terms of Taylor polynomials

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