TY - JOUR
T1 - Differential Transform Method for Mathematical Modeling of Jamming Transition Problem in Traffic Congestion Flow
AU - Ganji, S.
AU - Barari, Amin
AU - Ibsen, Lars Bo
AU - Domairry, G.
PY - 2012
Y1 - 2012
N2 - 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.
AB - 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.
KW - Traffic congestion flow
KW - Jamming transition problem (JTP)
KW - Lorentz system
KW - Nonlinear oscillation
KW - Differential transformation method (DTM)
KW - Traffic congestion flow
KW - Jamming transition problem (JTP)
KW - Lorentz system
KW - Nonlinear oscillation
KW - Differential transformation method (DTM)
UR - http://www.scopus.com/inward/record.url?scp=84856430706&partnerID=8YFLogxK
U2 - 10.1007/s10100-010-0154-7
DO - 10.1007/s10100-010-0154-7
M3 - Journal article
SN - 1435-246X
VL - 20
SP - 87
EP - 100
JO - Central European Journal of Operations Research
JF - Central European Journal of Operations Research
IS - 1
ER -