提出了两个求解空间四阶的时间亚扩散方程的数值方法,其误差阶分别为O(τ+h2)和O(τ2+h2).通过Fourier方法,发现两个差分格式均为无条件稳定的.最后,通过数值例子,验证了两个算法的有效性.
Two numerical schemes for a time subdiffusion equation with space fourth-order are proposed, and the convergence orders are O(τ+h2) and O(τ2+h2), respectively. By using the Fourier method, it is found that two finite difference schemes are all unconditionally stable. Finally, numerical examples are given to testify the efficiency of the numerical schemes.