Differential Transform Method for Mathematical Modeling of Jamming Transition Problem in Traffic Congestion Flow

S. S. Ganji, Amin Barari, Lars Bo Ibsen, G. Domairry

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    Abstrakt

    In this paper we aim to find an analytical solution for jamming transition in traffic flow. Generally the Jamming Transition Problem (JTP) can be modeled via Lorentz system. So, in this way, the governing differential equation achieved is modeled in the form of a nonlinear damped oscillator. In current research the authors utilized the Differential Transformation Method (DTM) for solving the nonlinear problem and compared the analytical results with those ones obtained by the 4th order Runge-Kutta Method (RK4) as a numerical method. Further illustration embedded in this paper shows the ability of DTM in solving nonlinear problems when a so accurate solution is required.
    OriginalsprogEngelsk
    TitelProgram Review, July 2009 - June 2010 : Joint Research and Development: Innovative Foundation Solutions
    RedaktørerSøren A. Nielsen
    Antal sider14
    UdgivelsesstedAalborg
    ForlagMBD Offshore Power A/S and Aalborg University
    Publikationsdato2010
    StatusUdgivet - 2010

    Emneord

    • Traffic Congestion Flow
    • Jamming Transition Problem
    • JTP
    • Lorentz System
    • Nonlinear Oscillation
    • Differential Transformation Method
    • DTM

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