基于斜率限制器下求解 二维时间分数阶 Burgers 方程的 多重网格法  

A Multi-Grid Method for SolvingTwo-Dimensional Temporal Fractional Burgers Equations Based on Slope Limiter

作　　者：李林娜 

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》2024年第12期5217-5224,共8页Advances in Applied Mathematics

摘　　要：本文研究求解二维时间分数阶 Burgers 方程的多重网格法:在离散过程中,我们采用 L1差分格 式离散时间分数阶导数,对流项运用 Lax-Friedrichs 通量近似计算。实验结果表明该方法可以很 好地模拟间断。In this paper, we study the multi-grid method for solving the two-dimensional frac- tional Burgers equation in time: In the discretization process, we use the discretized fractional derivative of time in the L1 difference format, and the Lax-Friedrichs flux approximation is used for the convection term. Experimental results show that the proposed method can simulate discontinuities well.

关 键 词：二维时间分数阶 Burgers 方程 多重网格法 

分 类 号：O17[理学—数学]