Legendre polynomial solutions of high-order linear Fredholm integro-differential equations (Q1021523)

scientific article; zbMATH DE number 5562764

Language	Label	Description	Also known as
English	Legendre polynomial solutions of high-order linear Fredholm integro-differential equations	scientific article; zbMATH DE number 5562764

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instance of

scholarly article

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title

Legendre polynomial solutions of high-order linear Fredholm integro-differential equations (English)

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Applied Mathematics and Computation

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publication date

8 June 2009

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zbMATH Keywords

Legendre polynomials and series

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Fredholm integro-differential equations

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collocation points

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.amc.2008.12.090

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cites work

The approximate solution of high-order linear Volterra-Fredholm integro-differential equations in terms of Taylor polynomials

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Taylor polynomial solutions of nonlinear Volterra-Fredholm integral equations

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A simple Taylor-series expansion method for a class of second kind integral equations

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Numerical solution of linear Fredholm integral equation by using hybrid Taylor and Block-Pulse functions.

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Numerical solution of Volterra integral equations of the second kind with convolution kernel by using Taylor-series expansion method

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Computational Methods for Integral Equations

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An operational approach to the Tau method for the numerical solution of non-linear differential equations

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Numerical solution of the system of Fredholm integro-differential equations by the tau method

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Numerical solution of a class of integro-differential equations by the tau method with an error estimation

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Legendre wavelets method for the nonlinear Volterra---Fredholm integral equations

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Combinatorial and hypergeometric identities via the Legendre polynomials -- a computational approach

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Optimal control of linear delay systems via hybrid of block-pulse and Legendre polynomials

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Solving second kind integral equations by Galerkin methods with hybrid Legendre and block-pulse functions.

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Legendre polynomials, Legendre--Stirling numbers, and the left-definite spectral analysis of the Legendre differential expression

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Q5533821

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Chebyshev Polynomials in the Numerical Solution of Differential Equations

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Legendre expansion method for the solution of the second-and fourth-order elliptic equations

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Application of Chebyshev, and Legendre polynomials on discrete point set to function interpolation and solving Fredholm integral equations

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Taylor polynomial solutions of Volterra integral equations

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A method for the approximate solution of the second‐order linear differential equations in terms of Taylor polynomials

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Q3150372

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A Taylor Collocation Method for the Solution of Linear Integro-Differential Equations

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A method for the approximate solution of the high-order linear difference equations in terms of Taylor polynomials

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A matrix method for solving high-order linear difference equations with mixed argument using hybrid Legendre and Taylor polynomials

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A Taylor polynomial approach for solving high-order linear Fredholm integro-differential equations in the most general form

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Discussion on convergence of Legendre polynomial for numerical solution of integral equations

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Numerical piecewise approximate solution of Fredholm integro-differential equations by the tau method

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Q4039908

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Q4187223

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Identifiers

zbMATH Open document ID

1162.65420

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Mathematics Subject Classification ID

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10.1016/J.AMC.2008.12.090

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Sitelinks

Mathematics(1 entry)

mardi Publication:1021523