On the continuum limit of the Follow-the-Leader model and its stability
arxiv(2024)
Abstract
We consider the Follow-the-Leader (FtL) model and study which properties of
the initial positioning of the vehicles ensure its convergence to the classical
Lighthill-Whitham-Richards (LWR) model for traffic flow. Robustness properties
of both FtL and LWR models with respect to the initial discretization schemes
are investigated. Some numerical simulations are also discussed.
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