Abstract. We propose a discontinuous Galerkin method for convection-subdiffusion equations with a fractional operator of order α(1 < α < 2) defined through the fractional Laplacian. The fractional operator of order α is expressed as a composite of first order derivatives and fractional integrals of order 2 − α, and the fractional convection-diffusion problem is expressed as a system of low order differential/integral equations and a local discontinuous Galerkin method scheme is derived for the equations. We prove stability and optimal order of convergence O(h k+1 ) for subdiffusion, and an order of convergence of O(h k+ 1 2 ) is established for the general fractional convection-diffusion problem. The analysis is confirmed by numerical examples.

No abstract

No abstract

No abstract

No abstract