非线性交通模型的同伦分析解
비선성교통모형적동륜분석해
The Homotopy Analytic Solutions for a Nonlinear Traffic Flow Model
  • 万方数据
    湖州师范学院学报 호주사범학원학보
    JOURNAL OF HUZHOU TEACHERS COLLEGE
    2014年 4期 13-18 ,共6页

    褚晨超%祝吕燕%谢君%陈依妮%何强%韩祥临

    저신초%축려연%사군%진의니%하강%한상림

    同伦分析法%非线性问题%近似解%微分变换法%数值模拟 同倫分析法%非線性問題%近似解%微分變換法%數值模擬
    동륜분석법%비선성문제%근사해%미분변환법%수치모의
    the homotopy analysis method%nonlinear problem%approximation solution%differential transform method%numerical simulation
    应用同伦分析法(H AM)研究在劳伦兹系统基础上构建的非线性交通模型。通过选取适当的初始解和线性算子，得到方程的近似解。与已有结果的比较发现，在研究这类非线性问题时，同伦分析法优于微分变换法，并通过数值模拟验证了结果的正确性。
    응용동륜분석법(H AM)연구재로륜자계통기출상구건적비선성교통모형。통과선취괄당적초시해화선성산자，득도방정적근사해。여이유결과적비교발현，재연구저류비선성문제시，동륜분석법우우미분변환법，병통과수치모의험증료결과적정학성。
    The nonlinear traffic flow model,which is based on the Lorentz system,is discussed by using the homotopy analysis method (HAM).By choosing deferent initial approximation solutions and deferent linear operators,we obtain the approximation solution of the nonlinear model.By comparing the present results with the previous related studies,we conclude that the HAM is superior to the differ-ential transform method.The correctness of the theoretical analysis is confirmed by numerical simula-tion.
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