Fully discrete local discontinuous Galerkin methods for some time-fractional fourth-order problems.

In this paper, we study the local discontinuous Galerkin (LDG) method for some time-fractional fourth-order differential equations. The method was recently employed to solve the problem and shown to converge with order. We find that the LDG method can actually achieve convergence rate equals. The claims are justified by numerical tests. [ABSTRACT FROM PUBLISHER]