一类空间分数阶Burgers方程守恒型差分方法
A Conservative Difference Method for a Space-Fractional Burgers Equation
摘要: 本文采用守恒型差分方法求解一类空间分数阶Buegers方程，其中时间方向和空间方向分别采用Crank-Nicolson格式和有限差分法离散。实验结果表明，该方法在时间和空间上的收敛速度都为二阶。
Abstract: This paper develops a conservative discretization for a space-fractional Burgers equation, in which the temporal Crank-Nicolson scheme and spacial finite difference method are used. Numerical test shows that the convergence of this method is of order 2 in time and space.
文章引用：胡婷, 傅毛里. 一类空间分数阶Burgers方程守恒型差分方法[J]. 应用数学进展, 2022, 11(1): 219-223. https://doi.org/10.12677/AAM.2022.111027

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