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• W1485708192 abstract "This paper studies spectral methods for vehicular traffic flow simulation. According to related studies, high-order macroscopic models cannot ensure the anisotropic property of traffic flow. Fortunately, the first-order model, i.e., LWR model, satisfies the anisotropic property in single-lane traffic. Although LWR model is the simplest macroscopic model, it is still a nonlinear model. For uninterrupted traffic flow, the initial and boundary conditions are continuous. The LWR model can be solved by general numerical algorithms. However, if interrupted traffic flow of signalized roads in an urban is considered, high-order numerical algorithm must be employed to approximate the discontinuous conditions. Besides, a high-order numerical algorithm takes more computing time and needs more strict constraints for convergence. If the number of simulated roads is huge, it is impossible to provide real-time information and control strategies of traffic flow. Spectral method, which is developed in 1970s, is a numerical solution method of partial differential equations. The method has the property of infinite differentiable and can be computed rapidly. It is considered as an alternative of finite difference method and finite element method. Spectral method employs a given smooth function to approximate the unknown equation. Generally, Fourier series Chebyshev Legendre Laguerre or Hermite polynomials are considered candidates of smooth functions. Different forms of differential equations and conditions should be solved by differential polynomials. In this study, the convergence of the smooth function is analysed and compared numerically. Eventually, the suitable method will be suggested to simulate traffic flow." @default.
• W1485708192 created "2016-06-24" @default.
• W1485708192 creator A5076639659 @default.
• W1485708192 date "2005-12-16" @default.
• W1485708192 modified "2023-09-24" @default.
• W1485708192 title "Analyses of smooth functions for spectral simulation of traffic flow" @default.
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