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.