Nonlinear hydrodynamic models of traffic flow modelling and mathematical problems

被引：55

作者：

De Angelis, E ^{[1
]}

机构：

[1] Politecn Torino, Dept Math, Turin, Italy

来源：

MATHEMATICAL AND COMPUTER MODELLING | 1999年 / 29卷 / 07期

关键词：

nonlinear hydrodynamics; traffic models; nonlinear sciences; evolution equations;

D O I：

10.1016/S0895-7177(99)00064-3

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper deals with nonlinear hydrodynamic modelling of traffic flow on roads and with the solution of related nonlinear initial and boundary value problems. The paper is in two parts. The first one provides the general framework of hydrodynamic modelling of traffic flow. Some new models are proposed and related to the ones which are known in the literature. The second one is on mathematical methods related to the solution of initial-boundary value problems. A critical analysis and an overview on research perspectives conclude the paper. (C) 1999 Elsevier Science Ltd. All rights reserved.

引用

页码：83 / 95

页数：13

共 16 条

[1] Nonlinear models and problems in applied sciences from differential quadrature to generalized collocation methods [J].