Theoretical analysis of a modified continuum model

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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Detail(s)

Original languageEnglish
Article number90501
Journal / PublicationChinese Physics Letters
Volume28
Issue number9
Publication statusPublished - Sept 2011

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DOI

DOI
Check@CityULib
Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-80053139304&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(39db9765-29e3-4782-a9e0-3cb734a9ca81).html

Abstract

Based on the optimal velocity (OV) model, a new car-following model for traffic flow with the consideration of the driver's forecast effect (DFE) was proposed by Tang et al., which can be used to describe some complex traffic phenomena better. Using an asymptotic approximation between the headway and density, we obtain a new macro continuum version of the car-following model with the DFE. The linear stability theory is applied to derive the neutral stability condition. The Korteweg - de Vries equation near the neutral stability line is given by nonlinear analysis and the corresponding solution for the traffic density wave is derived. © 2011 Chinese Physical Society and IOP Publishing Ltd.

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100
Korteweg-De Vries E... Mathematics
100
Nonlinear Analysis Mathematics
100
Stability Theory Mathematics
100
Asymptotic Approxim... Mathematics
100
Linearized Stabilit... Mathematics
100
Continuum Model Engineering
100
Stability Condition Engineering
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Citation Format(s)

[ RIS ] [ BibTeX ]
Theoretical analysis of a modified continuum model. / Ge, Hong-Xia; Wu, Shu-Zhen; Cheng, Rong-Jun et al.
In: Chinese Physics Letters, Vol. 28, No. 9, 90501, 09.2011.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review