Wei, L., Wei, X. and Tang, B. (2022) Numerical Analysis of Variable-Order Fractional KdV-Burgers-Kuramoto Equation. Electronic Research Archive, 30, 1263-1281.
https://doi.org/10.3934/era.2022066

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.