Non-local time evolution equation with singular integral and its application to traffic flow model

We consider an integro-differential equation model for traffic flow which is an extension of the Burgers equation model. To discuss the model, we first examine general settings for integrable integro-differential equations and find that they are obtained through a simple residue formula from integra...

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Veröffentlicht in:	arXiv.org 2024-02
1. Verfasser:	Higashi, Kohei
Format:	Artikel
Sprache:	eng
Schlagworte:	Burgers equation Difference equations Differential equations Free flow Traffic flow Traffic models
Online-Zugang:	Volltext
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