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arXiv · 2403.11526

On the continuum limit of the Follow-the-Leader model and its stability

Fabio Ancona·Mohamed Bentaibi·Francesco Rossi
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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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Fabio Ancona, Mohamed Bentaibi, Francesco Rossi. 2024-03-18. On the continuum limit of the Follow-the-Leader model and its stability. https://arxiv.org/abs/2403.11526

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