文章利用有限差分的加权隐式格式,构造空间分数阶扩散方程的一个新的加权隐式差分格式,其相应的系数矩阵是严格对角占优的.证明了此格式算法是稳定的,并通过数值算例验证算法的有效性.
This paper givers a weighted implicit difference scheme for solving space fractional diffusion equation by the weighted implicit scheme. The coefficient matrix is strictly diagonal dominance. Stability of the method is proved. The numerical example is showed to testify the efficiency of the numerical scheme.