Two algorithms for a fully coupled and consistently macroscopic PDE-ODE system modeling a moving bottleneck on a road

In this paper we propose two numerical algorithms to solve a coupled PDE-ODE systemwhich models a slow vehicle (bottleneck) moving on a road together with other cars. The resulting system is fully coupled because the dynamics of the slow vehicle depends on the density of cars and, at the same time,...

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Bibliographic Details
Main Authors: Gabriella Bretti, Emiliano Cristiani, Corrado Lattanzio, Amelio Maurizi, Benedetto Piccoli
Format: Article
Language:English
Published: AIMS Press 2018-09-01
Series:Mathematics in Engineering
Subjects:
Online Access:https://www.aimspress.com/article/10.3934/Mine.2018.1.55/fulltext.html