TY - JOUR
T1 - Analysis of an Implicit Fully Discrete Local Discontinuous Galerkin Method for the Time-Fractional Kdv Equation
AU - Wei , Leilei
AU - He , Yinnian
AU - Zhang , Xindong
JO - Advances in Applied Mathematics and Mechanics
VL - 4
SP - 510
EP - 527
PY - 2018
DA - 2018/05
SN - 7
DO - http://doi.org/10.4208/aamm.2013.m220
UR - https://global-sci.org/intro/article_detail/aamm/12061.html
KW - 
AB - <p style="text-align: justify;">In this paper, we consider a fully discrete local discontinuous Galerkin (LDG)
finite element method for a time-fractional Korteweg-de Vries (KdV) equation. The
method is based on a finite difference scheme in time and local discontinuous Galerkin
methods in space. We show that our scheme is unconditionally stable and convergent
through analysis. Numerical examples are shown to illustrate the efficiency and accuracy
of our scheme.</p>