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Properties of the LWR model with time delay

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arxiv 2003.12090 v1 pith:X5OXMOBG submitted 2020-03-26 math.NA cs.NA

Simone Göttlich , Elisa Iacomini , Thomas Jung This is my paper · ORCID
classification math.NAcs.NA
keywords modeldelaynumericalpropertiesresultstimeableanalysis
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In this article, we investigate theoretical and numerical properties of the first-order Lighthill-Whitham-Richards (LWR) traffic flow model with time delay. Since standard results from the literature are not directly applicable to the delayed model, we mainly focus on the numerical analysis of the proposed finite difference discretization. The simulation results also show that the delay model is able to capture Stop & Go waves.

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