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

作　　者：白慧冉 魏英岚 

机构地区：[1]长沙理工大学,数学与统计学院,湖南 长沙

出　　处：《应用数学进展》2023年第3期873-878,共6页Advances in Applied Mathematics

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。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.

关 键 词：时间分数阶Burgers方程 多重网格法 五阶WENO格式 

分 类 号：G63[文化科学—教育学]