Convergence analysis of the Chebyshev-Legendre spectral method for a class of Fredholm fractional integro-differential equations

DOI10.1016/J.CAM.2019.02.022zbMath1426.65221arXiv1801.00564OpenAlexW2781631499MaRDI QIDQ2000613

Yanyan Li

Publication date: 28 June 2019

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

Full work available at URL: https://arxiv.org/abs/1801.00564

zbMATH Keywords

convergence analysisCaputo derivativefractional integro-differential equationsChebyshev-Legendre spectral method

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) Fractional ordinary differential equations (34A08)

Related Items (5)

Nonlinear second order systems of Fredholm integro-differential equations ⋮ Fractional Chebyshev deep neural network (FCDNN) for solving differential models ⋮ Combination of Lucas wavelets with Legendre-Gauss quadrature for fractional Fredholm-Volterra integro-differential equations ⋮ Spectral collocation method for solving multi-term fractional integro-differential equations with nonlinear integral ⋮ Chebyshev spectral projection methods for Fredholm integral equations of the second kind

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