ABSTRACT
In 1971, adding a dynamic equation to the continuity one, Payne established a high-order continuum traffic flow model. The dynamic equation is:
∂ ∂
+ ∂ ∂
= −
∂ ∂
+ v t
v v x T x
v v− T
eα ρ
ρ
where, T is relaxation time, and α = −0.5∂νe/∂ρ is the anticipation coefficient.
