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Indian Journal of Industrial and Applied Mathematics
Year : 2013, Volume : 4, Issue : 1
First page : ( 19) Last page : ( 32)
Print ISSN : 0973-4317.

Numerical comparison of kinetic Fokker-Planck equations for vehicular trafic and related micro and macro models

Roth A., Klar A.

Online published on 29 April, 2013.

Abstract

In the present paper, kinetic Fokker-Planck type models for vehicular trafic and the transition to the corresponding macroscopic and microscopic system of equations are considered from a numerical point of view. Using formal derivations and suitable rescaling of the equations, numerical results are compared on all three levels of description.

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