The Burgers Equation for a New Continuum Model with Consideration of Driver’s Forecast Effect
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-24
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
A new continuum model with consideration of driver’s forecast effect is obtained to study the density wave problem and the stop-and-go phenomena.
The stability condition of the new model is derived by using linear analysis.
The triangular shock wave, one type of density wave, which is determined by Burgers equation in the stable region, is discussed in great detail with reductive perturbation method.
The local cluster appears when we perform the numerical simulations for the new model.
It also proves that the driver’s forecast effect has the positive effect of reducing the local cluster.
American Psychological Association (APA)
Yu, Lei& Zhou, Bingchang. 2014. The Burgers Equation for a New Continuum Model with Consideration of Driver’s Forecast Effect. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1039702
Modern Language Association (MLA)
Yu, Lei& Zhou, Bingchang. The Burgers Equation for a New Continuum Model with Consideration of Driver’s Forecast Effect. Journal of Applied Mathematics No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1039702
American Medical Association (AMA)
Yu, Lei& Zhou, Bingchang. The Burgers Equation for a New Continuum Model with Consideration of Driver’s Forecast Effect. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1039702
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1039702
