Upwind difference scheme for fuzzy convection–diffusion equations

Abstract

In this paper, our main objective is to build fuzzy upwind difference scheme for fuzzy convection–diffusion equations based on generalized Hukuhara derivative with new Taylor expansions. The truncation error and consistency of this scheme are discussed in the sequel. Stability of this scheme is proved by fuzzy Fourier transform, and convergence of this scheme is derived by Lax equivalence theorem. Finally, a numerical example is given and shows that our methods are efficient and stable for solving fuzzy convection–diffusion problems.