Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
978971 | Physica A: Statistical Mechanics and its Applications | 2008 | 8 Pages |
Abstract
A continuum version of the car-following full velocity difference model (FVDM) is developed using a series expansion of the headway in terms of the density. This continuum model obeys the equivalent stability criterion as its discrete counterpart, and the Burgers and Korteweg-de Vries equations deriving from the analogous continuum model are equivalent to their counterparts from the transformed car-following model.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Zhong-Hui Ou,