ARTIFICIAL BOUNDARY METHOD FOR BURGERS' EQUATION USING NONLINEAR BOUNDARY CONDITIONS

• 来源期刊: 计算数学（英文版）
• 关键词: Burgers' equation Unbounded domain Artificial boundary condition.
• 年，卷（期）: 2006,（3）
• 页码范围: 295-304
• 页数: 10页
• 语种: 英文

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.