Analysis of a local discontinuous Galerkin method for time‐fractional advection‐diffusion equations

DOI10.1108/09615531311323782zbMath1357.65181OpenAlexW2023362087MaRDI QIDQ2967035

Leilei Wei, Xindong Zhang, Yin-Nian He

Publication date: 28 February 2017

Published in: International Journal of Numerical Methods for Heat & Fluid Flow (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/09615531311323782

zbMATH Keywords

stabilityGalerkin methoderror estimatesdifferential equationslocal discontinuous Galerkin methodtime-fractional partial differential equations

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Fractional partial differential equations (35R11)

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Cites Work

• High-order finite element methods for time-fractional partial differential equations
• The variational iteration method: an efficient scheme for handling fractional partial differential equations in fluid mechanics
• Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation
• Implicit finite difference approximation for time fractional diffusion equations
• Fractals and fractional calculus in continuum mechanics
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Numerical solution of the Bagley-Torvik equation.
• Finite difference/spectral approximations for the time-fractional diffusion equation
• An explicit and numerical solutions of the fractional KdV equation
• Superconvergence of the Local Discontinuous Galerkin Method for Elliptic Problems on Cartesian Grids
• Analysis of a local discontinuous Galerkin method for time‐fractional advection‐diffusion equations
• He's homotopy perturbation method for solving the fractional KdV‐Burgers‐Kuramoto equation

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