The KdV–Burgers equation in a new continuum model with consideration of driverʼs forecast effect and numerical tests

2013 ◽  
Vol 377 (44) ◽  
pp. 3193-3198 ◽  
Author(s):  
Hong-Xia Ge ◽  
Ling-Ling Lai ◽  
Peng-Jun Zheng ◽  
Rong-Jun Cheng
Keyword(s):  
Continuum Model ◽  
Burgers Equation ◽  
Numerical Tests

KdV-Burgers equation in the modified continuum model considering the “backward looking” effect

2017 ◽  
Vol 91 (3) ◽  
pp. 2007-2017 ◽  
Author(s):  
Zhaoze Liu ◽  
Jufeng Wang ◽  
Hongxia Ge ◽  
Rongjun Cheng
Keyword(s):  
Continuum Model ◽  
Burgers Equation

scholarly journals The Burgers Equation for a New Continuum Model with Consideration of Driver’s Forecast Effect

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Lei Yu ◽  
Bingchang Zhou
Keyword(s):  
Continuum Model ◽  
Burgers Equation ◽  
Density Wave ◽  
Reductive Perturbation Method ◽  
Stable Region ◽  
Local Cluster ◽  
New Model ◽  
Stop And Go ◽  
The Stability ◽  
Positive Effect

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.

A new continuum model for traffic flow and numerical tests

2002 ◽  
Vol 36 (5) ◽  
pp. 405-419 ◽  
Author(s):  
Rui Jiang ◽  
Qing-Song Wu ◽  
Zuo-Jin Zhu
Keyword(s):  
Traffic Flow ◽  
Continuum Model ◽  
Numerical Tests
Sign in / Sign up

Export Citation Format

Share Document