An Artificial Boundary Method for Burgers' Equation in the Unbounded Domain

被引：0
|
作者：
Zheng, Quan [1 ]
Fan, Lei [1 ]
Li, Xuezheng [1 ]
机构：
[1] North China Univ Technol, Coll Sci, Beijing 100144, Peoples R China
来源：
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES | 2014年 / 100卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Burgers' equation; Unbounded domain; Hopf-Cole transformation; Artificial boundary method; Finite difference method; DIFFERENCE SCHEME; INVERSE PROBLEMS; COUPLING METHOD; HEAT-EQUATION; COLLOCATION;
D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we construct a numerical method for one-dimensional Burgers' equation in the unbounded domain by using artificial boundary conditions. The original problem is converted by Hopf-Cole transformation to the heat equation in the unbounded domain, the latter is reduced to an equivalent problem in a bounded computational domain by using two artificial integral boundary conditions, a finite difference method with discrete artificial boundary conditions is established by using the method of reduction of order for the last problem, and thereupon the numerical solution of Burgers' equation is obtained. This artificial boundary method is proved and verified to be uniquely solvable, unconditionally stable and convergent with the order 2 in space and the order 3/2 in time for solving. Burgers' equation on the computational domain.
引用
收藏
页码：445 / 461
页数：17
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