Solution of time fractional diffusion equations using a semi-discrete scheme and collocation method based on Chebyshev polynomials

In this paper, a new numerical method for solving time-fractional diffusion equations is introduced. For this purpose, finite difference scheme for discretization in time and Chebyshev collocation method is applied. Also, to simplify application of the method, the matrix form of the suggested method is obtained. Illustrative examples show that the proposed method is very efficient and accurate.