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Monotone iterative simulation of the multilane traffic dispersion model

机译:多车道交通分散模型的单调迭代仿真

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摘要

In this study, the multilane traffic flow is modeled as a nonlinear Poisson equation in a two-dimensional space. The model is derived from the interaction among vehicles and the assumption that vehicles will tend toward the equilibrium state under a given traffic condition. A monotone iterative scheme for the nonlinear model, which is a finite difference approximation of the model, is presented. The convergency is also discussed herein. At last, a numerical example is employed to explain the model.
机译:在这项研究中,多车道交通流被建模为二维空间中的非线性泊松方程。该模型是根据车辆之间的相互作用以及车辆在给定交通条件下趋于平衡状态的假设得出的。提出了非线性模型的单调迭代方案,该方案是模型的有限差分近似。收敛性也在本文中讨论。最后,通过数值例子对模型进行了解释。

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