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math.NA2024
A Comparative Study of Numerical Methods for Approximating the Solutions of a Macroscopic Automated-Vehicle Traffic Flow Model
George Titakis, Iasson Karafyllis, Dionysis Theodosis +2
In this paper, a particle method is used to approximate the solutions of a "fluid-like" macroscopic traffic flow model for automated vehicles. It is shown that this method preserve…
math.NA2022★ 1 cited
A Nonlinear Heat Equation Arising from Automated-Vehicle Traffic Flow Models
Dionysis Theodosis, Iasson Karafyllis, George Titakis +2
In this paper, a new nonlinear heat equation is studied that arises as a model of the collective behavior of automated vehicles. The properties of the solutions of this equation ar…