SILVA, M. A.; http://lattes.cnpq.br/3727675469956093; SILVA, Maciel Araújo da.
Abstract:
In this paper we present an application of the partial differential equations in the traffic flow model along a highway modeled by the first order quasi-linear differential equation.
∂u ∂u
+t + c (1 - 2u) ∂x = 0,
where u is the density of cars per unit length. The technique used to obtain solution was the characteristics method.