摘要
通过代换,将基于劳伦兹系统构建的交通流方程组转换成非线性方程,分别利用匹配渐近法和同伦分析法研究非线性交通模型,讨论当参数σ=tn/tv1时的新情况,得到非线性方程的两种解析近似解,为分析车头变化情况提供理论依据.
By substitution, the traffic flow equations based on the Lorentz system is transformed into a nonlinear equation. The matching asymptotic and homotopy analysis methods are applied to study the nonlinear traffic model respectively. Then the new ease the parameter σ=tn/tv〉〉1 is discussed to obtain two kinds of analytical approximate solution of nonlinear equation, which provides a theoretical basis for the analysis of the change of the headstock.
出处
《湖州师范学院学报》
2015年第4期1-5,共5页
Journal of Huzhou University
基金
浙江省自然科学基金(LY13A010005)
2014年浙江省大学生科技创新活动计划暨新苗人才计划项目(2014R425031)
关键词
匹配渐近法
同伦分析法
强非线性方程
近似解
matching asymptotic method
homotopy analysis method
strongly nonlinear equation
approximate solution
