Chebyshev finite difference method for Fredholm integro-differential equation
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Publication:5438699
DOI10.1080/00207160701405436zbMath1131.65107OpenAlexW1974737128WikidataQ115311519 ScholiaQ115311519MaRDI QIDQ5438699
Mehdi Dehghan, Abbas Saadatmandi
Publication date: 28 January 2008
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160701405436
numerical resultsGauss-Lobatto nodesChebyshev finite difference methodFredholm integro-differential equation
Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10)
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Cites Work
- Semiorthogonal spline wavelets approximation for Fredholm integro-differential equations
- Chebyshev finite difference method for the solution of boundary-layer equations
- A method for numerical integration on an automatic computer
- Numerical solution of a special type of integro-differential equations
- Chebyshev finite difference approximation for the boundary value problems
- Chebyshev finite difference method for the effects of chemical reaction, heat and mass transfer on laminar flow along a semi infinite horizontal plate with temperature dependent viscosity
- Numerical solution of a class of integro-differential equations by the tau method with an error estimation
- Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices
- Numerical piecewise approximate solution of Fredholm integro-differential equations by the tau method
- A computational study of the one-dimensional parabolic equation subject to nonclassical boundary specifications
- Solution of a partial integro-differential equation arising from viscoelasticity
- Analysis of numerical iterative methods for solving integral and integrodifferential equations
- A Method for the Approximate Solution of Linear Integro-Differential Equations
- Unnamed Item
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