Wei, L., Zhang, X.D. and He, Y.N. (2013) Analysis of a Local Discontinuous Galerkin Method for Time-Fractional Advection-Diffusion Equations. International Journal of Numerical Methods for Heat & Fluid Flow, 23, 634-648.
https://doi.org/10.1108/09615531311323782

has been cited by the following article:

• TITLE: Local Discontinuous Galerkin Method for the Time-Fractional KdV Equation with the Caputo-Fabrizio Fractional Derivative

  AUTHORS: Huanhuan Wang, Xiaoyan Xu, Junmei Dou, Ting Zhang, Leilei Wei

  KEYWORDS: Caputo-Fabrizio Fractional Derivative, Local Discontinuous Galerkin Method, Stability, Error Analysis

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.10 No.6, June 24, 2022

  ABSTRACT: This paper studies the time-fractional Korteweg-de Vries (KdV) equations with Caputo-Fabrizio fractional derivatives. The scheme is presented by using a finite difference method in temporal variable and a local discontinuous Galerkin method (LDG) in space. Stability and convergence are demonstrated by a specific choice of numerical fluxes. Finally, the efficiency and accuracy of the scheme are verified by numerical experiments.