In this thesis , we apply a local discontinuous Galerkin (LDG) method for solving inverse problems in time-fractional partial differential equations . The method is based on a finite difference scheme in time and a LDG method in space. A numerical stability theorem as well as an error estimate is provided . It must be pointed out that the proposed method generates stable and accurate numerical results . For solving some time-fractional partial differential equations (PDEs), relevant LDG schemes have been constructed and analyzed.
