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ARTIFICIAL BOUNDARY METHOD FOR BURGERS' EQUATION USING NONLINEAR BOUNDARY CONDITIONS
引用本文:Hou-de Han Xiao-nan Wu Zhen-li Xu. ARTIFICIAL BOUNDARY METHOD FOR BURGERS' EQUATION USING NONLINEAR BOUNDARY CONDITIONS[J]. 计算数学(英文版), 2006, 24(3): 295-304
作者姓名:Hou-de Han Xiao-nan Wu Zhen-li Xu
作者单位:[1]Department of Mathematical Sciences, Tsinghua University, Beijing 100084. China [2]Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong [3]Department of Mathematics, University of Science and Technology of China, Hefei 230026, China
基金项目:Research is supported in part by National Natural Science Foundation of China (No. 10471073) and RGC of Hong Kong and in part by RGC of Hong Kong and FRG of Hong Kong Baptist University.
摘    要:This paper discusses the numerical solution of Burgers' equation on unbounded domains. Two artificial boundaries are introduced and boundary conditions are obtained on the artificial boundaries, which are in nonlinear forms. Then the original problem is reduced to an equivalent problem on a bounded domain. Finite difference method is applied to the reduced problem, and some numerical examples are given to show the effectiveness of the new approach.

关 键 词:Burgers方程 边界情形 数字模拟 非线性形状
收稿时间:2006-03-01
修稿时间:2006-03-01

ARTIFICIAL BOUNDARY METHOD FOR BURGERS' EQUATION USING NONLINEAR BOUNDARY CONDITIONS
Hou-de;Han;Xiao-nan;Wu;Zhen-li;Xu. ARTIFICIAL BOUNDARY METHOD FOR BURGERS' EQUATION USING NONLINEAR BOUNDARY CONDITIONS[J]. Journal of Computational Mathematics, 2006, 24(3): 295-304
Authors:Hou-de  Han  Xiao-nan  Wu  Zhen-li  Xu
Abstract:
Keywords:
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