On variational properties of balanced central fractional derivatives

DOI10.1080/00207160.2017.1398324OpenAlexW2766391132MaRDI QIDQ5026504

Yufeng Xu, Qin Sheng, Hai-Wei Sun

Publication date: 8 February 2022

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

Full work available at URL: https://doi.org/10.1080/00207160.2017.1398324

zbMATH Keywords

fractional derivativesweak solutionsfractional differential equationsRitz-Galerkin methodvariational principalleft-sided and right-sided formulae

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11)

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Circulant-based approximate inverse preconditioners for a class of fractional diffusion equations ⋮ Preconditioning for symmetric positive definite systems in balanced fractional diffusion equations ⋮ Circulant preconditioners for a kind of spatial fractional diffusion equations ⋮ Efficient ADI schemes and preconditioning for a class of high-dimensional spatial fractional diffusion equations with variable diffusion coefficients

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