In this paper, a mixed high order finite difference scheme-Pad\'{e} approximation method is applied to obtain numerical solution of the Riesz fractional advection-dispersion equation. This method is based on the high order finite difference scheme that derived from fractional centered difference and Pad\'{e} approximation method for space and time integration, respectively. The stability analysis of the proposed method is discussed via theoretical matrix analysis. Numerical experiments are carried out to confirm the theoretical results of the proposed method.

翻译：在本文中,采用了一种混合高排序有限差分法-Pad\'{e}近似法,以获得Riesz 分对流-分散方程式的数值解决方案。该方法基于分别从分偏差和Pad\'{e}空间和时间集成近似法得出的高排序有限差分法。对拟议方法的稳定性分析通过理论矩阵分析加以讨论。进行了数值实验,以确认拟议方法的理论结果。