%0 Journal Article
%T 一类空间分数阶Burgers方程守恒型差分方法<br>A Conservative Difference Method for a Space-Fractional Burgers Equation
%A 胡婷
%A 傅毛里
%J Advances in Applied Mathematics
%P 219-223
%@ 2324-8009
%D 2022
%I Hans Publishing
%R 10.12677/AAM.2022.111027
%X 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。<br />
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.
%K 空间分数阶Burgers方程，守恒型差分方法，Crank-Nicolson格式<br>Space-Fractional Burgers Equations
%K Conservative Difference Method
%K Crank-Nicolson Scheme
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=48076