Numerical solutions of fuzzy fractional diffusion equations by two different finite difference schemes

摘要

In this paper, we investigate a numerical scheme for a fuzzy time fractional diffusion equation. Two finite difference schemes, that is the forward time centre space (FTCS) and the Crank-Nicholson methods, are studied. The time fractional derivative is defined using the Caputo formula. A numerical example is presented to illustrate the feasibility of the proposed methods. The obtained results show that the Crank-Nicholson method achieves more accurate solution compared with the FTCS method.