中文摘要：

我们现在的计划我为基于最大的模量原则和二 Gr 与可变系数解决一个维的部分散开方程 ?????? 片鰠 ?? 抑 ? 徬 ?? 誵?? 亘 ??  ??? 傖 ?? 鴿 ?颌鱎？

英文摘要：

We present scheme I for solving one-dimensional fractional diffusion equation with variable coefficients based on the maximum modulus principle and two Grunwald approxima- tions. Scheme II is obtained by using classic Crank-Nicolson approximations in order to improve the time convergence. Schemes are proved to be unconditionally stable and second-order accuracy in spatial grid size for the problem with order of fractional derivative belonging to [（√17- 1）/2, 2] using the maximum modulus principle. A numerical example is given to confirm the theoretical analysis result.