Nonlinear hydrodynamic models of traffic flow in the presence of tollgates

Authors:
A. Marasco
Affiliations:
Department of Mathematics and Applications University of Naples Federico II Via Cintia 80126, Naples, Italy
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2002

Citing 4
Cited 4

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Abstract

A nonlinear hydrodynamic model of traffic flow is here proposed in order to refine the modeling of driver's behaviour. This model is able to describe the car density and flow evolution in the presence of tollgates too. In any case, the associate evolution problem is a classical Dirichlet problem related to the flow measurement. Numerical simulations related to the solution of initial-boundary value problems are obtained by employing a scientific program written by the software Mathematica.