Efficient and Stable Numerical Methods for Multi-Term Time Fractional Sub-Diffusion Equations
Efficient and Stable Numerical Methods for Multi-Term Time Fractional Sub-Diffusion Equations
Abstract Some efficient numerical schemes are proposed for solving one-dimensional (1D) and two-dimensional (2D) multi-term time fractional sub-diffusion equations, combining the compact difference approach for the spatial discretisation and L 1 approximation for the multi-term time Caputo fractional derivatives. The stability and convergence of these difference schemes are theoretically established. …