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Partial differential equations and traffic flow

Janez Puntar (2020) Partial differential equations and traffic flow. MSc thesis.

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    Abstract

    In this masters thesis we analyze the movement of vehicles on a one lane road using a mathematical model. Our traffic model will depend on two quantities: velocity field and traffic density. Using a conservation law, we derive the traffic equation. The traffic equation is a quasilinear partial differential equation that we can solve using the method of characteristics. In the last part of the thesis, we study a few examples of different traffic situations.

    Item Type: Thesis (MSc thesis)
    Keywords: systems of diferential equations, quasilinear partial differential equation, traffic equation, traffic flow
    Number of Pages: 40
    Language of Content: Slovenian
    Mentor / Comentors:
    Mentor / ComentorsIDFunction
    izr. prof. dr. Marko SlaparMentor
    Link to COBISS: https://plus.si.cobiss.net/opac7/bib/peflj/25916931
    Institution: University of Ljubljana
    Department: Faculty of Education
    Item ID: 6350
    Date Deposited: 25 Aug 2020 07:29
    Last Modified: 25 Aug 2020 07:29
    URI: http://pefprints.pef.uni-lj.si/id/eprint/6350

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