A Posteriori Error Estimates of the Galerkin Spectral Methods for Space-Time Fractional Diffusion Equations

DOI10.4208/aamm.OA-2019-0137zbMath1488.65521MaRDI QIDQ5156935

Yunqing Huang, Yanping Chen, Huasheng Wang, Wenting Mao

Publication date: 12 October 2021

Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)

zbMATH Keywords

a posteriori error estimatesGalerkin spectral methodsspace-time fractional diffusion equations

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Fractional derivatives and integrals (26A33) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)

Related Items (8)

Numerical Methods for Semilinear Fractional Diffusion Equations with Time Delay ⋮ A Posteriori Error Estimates for $hp$ Spectral Element Approximation of Elliptic Control Problems with Integral Control and State Constraints ⋮ Accurate numerical simulations for fractional diffusion equations using spectral deferred correction methods ⋮ Two-grid \(H^1 \)-Galerkin mixed finite elements combined with \(L1\) scheme for nonlinear time fractional parabolic equations ⋮ Spectral collocation methods for fractional multipantograph delay differential equations ⋮ A Conservative Gradient Discretization Method for Parabolic Equations ⋮ A Kernel-Independent Sum-of-Gaussians Method by de la Vallee-Poussin Sums ⋮ An Efficient Second-Order Finite Volume ADI Method for Nonlinear Three-Dimensional Space-Fractional Reaction-Diffusion Equations

Uses Software

• FODE

Cites Work

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