基于五阶WENO格式的时间分数阶Burgers方程的多重网格方法
Multigrid Method for Time Fractional Burgers Equation Based on Fifth-Order WENO Scheme
摘要: 我们研究一种求解时间分数阶Burgers方程的多重网格方法。离散化过程中，时间分数阶导数采用L1公式逼近，对流项运用Lax-Friedrichs通量近似计算。在数值实验中，在不同的 取值下进行了有效的数值实验，结果证明该方法可以很好地模拟间断。
Abstract:
We investigate a multigrid method for solving time-fractional Burgers equations. In the discretiza-tion process, the fractional derivative of time is approximated by the L1 formula, and the convective term is calculated by Lax-Friedrichs flux approximation. In the numerical experiments, the effective numerical experiments are carried out under different values of , and the results show that the method can simulate the discontinuity well.
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