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• W2084405273 abstract "A traveling wave solution to the Aw-Rascle traffic flow model that includes the relaxation and diffusion terms is investigated. The model can be approximated by the well-known Kortweg-de Vries (KdV) equation. A numerical simulation is conducted by the first-order accurate Lax-Friedrichs scheme, which is known for its ability to capture the entropy solution to hyperbolic conservation laws. Periodic boundary conditions are applied to simulate a lengthy propagation, where the profile of the derived KdV solution is taken as the initial condition to observe the change of the profile. The simulation shows good agreement between the approximated KdV solution and the numerical solution." @default.
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• W2084405273 date "2013-03-11" @default.
• W2084405273 modified "2023-10-04" @default.
• W2084405273 title "Solitary wave solution to Aw-Rascle viscous model of traffic flow" @default.
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• W2084405273 doi "https://doi.org/10.1007/s10483-013-1687-9" @default.
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