Canonical Euler Splitting Method For Two Dimensional Space Fractional Diffusion Equation

In this paper, by discreting the spatial variables, initial boundary value problem of space fractional diffusion equation is converted into initial value problem of or-dinary differential equations, and then the canonical Euler splitting (CES) method is derived for solving two dimension space fractional diffusion equations. This splitting algorithm is stable and convergent, and reduce the amount of computation, improve the computational efficiency. Numerical experiments are carried out to demonstrate the theoretical results and show the effciency of the CES method, by compared to the classical sequential operator splitting.