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-...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.展开更多
文摘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.
