Abstract
In this paper we aim to find an analytical solution for jamming transition in traffic flow. Generally the Jamming Transition Problem (JTP) can be modeled via Lorentz system. So, in this way, the governing differential equation achieved is modeled in the form of a nonlinear damped oscillator. In current research the authors utilized the Differential Transformation Method (DTM) for solving the nonlinear problem and compared the analytical results with those ones obtained by the 4th order Runge-Kutta Method (RK4) as a numerical method. Further illustration embedded in this paper shows the ability of DTM in solving nonlinear problems when a so accurate solution is required.
| Original language | English |
|---|---|
| Title of host publication | Program Review, July 2009 - June 2010 : Joint Research and Development: Innovative Foundation Solutions |
| Editors | Søren A. Nielsen |
| Number of pages | 14 |
| Place of Publication | Aalborg |
| Publisher | MBD Offshore Power A/S and Aalborg University |
| Publication date | 2010 |
| Publication status | Published - 2010 |
Keywords
- Traffic Congestion Flow
- Jamming Transition Problem
- JTP
- Lorentz System
- Nonlinear Oscillation
- Differential Transformation Method
- DTM