Implicit numerical approximation scheme for the fractional Fokker–Planck equation

摘要

In this paper, we consider an anomalous subdiffusion process, governed by fractional Fokker–Planck equation. An effective numerical method for approximating Fokker–Planck equation in a bounded domain is presented. The stability and convergence of the numerical method are analyzed. Some numerical examples are presented to show the application of the present technique. The numerical results exhibit the good performance of our theoretical analysis.