Symmetric Direct Discontinuous Finite Element Method for Fractional Diffusion Equations
For a class of spatial fractional diffusion equations containing Caputo derivative,a new numerical scheme is constructed by combining the local discontinuous Galerkin method and the symmetrical direct discontinuous Galerkin method.The error of discrete scheme is analyzed in detail,and the result of theoretical analysis is verified by two numerical examples.
Caputo derivativeLocal discontinuous Galerkin methodSymmetrical direct discontinuous Galerkin method