Fractional Pseudospectral Schemes with Equivalence for Fractional Differential Equations
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Publication:5268987
DOI10.1137/15M1061496zbMath1367.65114OpenAlexW2617527023MaRDI QIDQ5268987
Yang Shi, Xiao-jun Tang, He-Yong Xu
Publication date: 14 June 2017
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/15m1061496
equivalencenumerical resultsfractional differential equationsJacobi-Gauss quadratureweighted Lagrange interpolationCaputo fractional Birkhoff interpolationpseudospectral differentiation/integration matrices
Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Fractional ordinary differential equations (34A08)
Related Items (7)
Logarithmic Jacobi collocation method for Caputo-Hadamard fractional differential equations ⋮ A novel finite difference discrete scheme for the time fractional diffusion-wave equation ⋮ Noniterative Computation of Gauss--Jacobi Quadrature ⋮ New fractional pseudospectral methods with accurate convergence rates for fractional differential equations ⋮ A Legendre spectral quadrature tau method for the multi-term time-fractional diffusion equations ⋮ Singularity preserving spectral collocation method for nonlinear systems of fractional differential equations with the right-sided Caputo fractional derivative ⋮ On approximate inverse of Hermite and Laguerre collocation differentiation matrices and new collocation schemes in unbounded domains
Uses Software
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