一维无界域上Burgers方程的局部人工边界条件  

Local Artificial Boundary Conditions for One-Dimensional Burgers Equation in Unbounded Domain

作　　者：周道[1] 金继承[1] 

机构地区：[1]湖南工业大学理学院,湖南株洲412007

出　　处：《湖南工业大学学报》2014年第6期7-12,31,共7页Journal of Hunan University of Technology

基　　金：国家自然科学基金资助项目(11101136);湖南省自然科学基金资助项目(14JJ2114);湖南省教育厅科学研究基金资助项目(14A164);湖南工业大学自然科学研究基金资助项目(2012HZX15)

摘　　要：针对无界域上的一维Burgers方程,首先运用Cole-Hopf函数变换,将非线性Burgers方程变换成线性的热传导方程;再通过Padé逼近得到局部的人工边界条件;最后,对得到的非线性初边值问题进行有限差分离散。数值实验表明,提出的人工边界条件是恰当的,并且是有效的。With respect to one-dimensional Burgers equation in unbounded domain, the nonlinear Burgers equation is firstly transformed into a linear heat equation by the Cole-Hopf function transformation, and then the artificial boundary conditions are obtained through Padé approximation, finally a finite difference discretization is applied for the obtained initial-boundary value problem. The numerical experiment shows that the proposed artificial boundary conditions are appropriate and effective.

关 键 词：BURGERS方程 人工边界条件 有限差分方法 Pad逼近 

分 类 号：O241.82[理学—计算数学]