给出了变系数的空间分数阶扩散方程的一种加权显式有限差分方法.证明了该方法是条件稳定和条件收敛的,而且在空间可以达到二阶精度.最后给出数值例子.
Weighted explicit finite difference method for solving the space fractional diffusion equation with variable coefficient is presented. Conditional stability and convergence of the method are analyzed, and the numerical approximation is second-order accurate in space. Finally a numerical example is provided