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Burgers方程的超离散化及其应用
Ultradiscretization of Burgers equation and its application
【摘要】 从交通流模型中导出Burgers方程.方程通过自变量以及因变量的离散化得到超离散Burgers方程.并且在适当的条件下成为Burgers元胞自动机.应用Burgers元胞自动机研究一维初等交通流模型.
【Abstract】 Burgers equation is derived via introducing a traffic flow.By taking dependent and independent variables discrete values for this equation,ultradiscrete Burgers equation is obtained.Moreover,it becomes a cellular automaton(CA) under appropriate conditions.Using Burgers cellular automata,elementary traffic flow model is studied.
【关键词】 Burgers方程;
超离散方程;
元胞自动机;
交通流;
【Key words】 Burgers equation; ultradiscrete equations; cellular automata; traffic flow;
【Key words】 Burgers equation; ultradiscrete equations; cellular automata; traffic flow;
【基金】 福建省科技厅青年科技人才创新基金资助项目(2005J057)
- 【文献出处】 闽江学院学报 ,Journal of Minjiang University , 编辑部邮箱 ,2009年02期
- 【分类号】O175.7
- 【被引频次】2
- 【下载频次】60