✦ LIBER ✦

A wavelet-Galerkin method for the kinematic wave model of traffic flow

✍ Scribed by Wong, G. C. K. ;Wong, S. C.

Publisher: John Wiley and Sons
Year: 2000
Tongue: English
Weight: 178 KB
Volume: 16
Category: Article
ISSN: 1069-8299
DOI: 10.1002/(sici)1099-0887(200002)16:2<121::aid-cnm312>3.0.co;2-w

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✦ Synopsis

In this paper, a wavelet-Galerkin formulation with domain transformation is applied to solve the kinematic wave model of tra$c #ow. A domain transformation method is employed to resolve the constraints imposed on the solution variables. This avoids the problem of generating invalid solution of tra$c states as with conventional numerical schemes for the wave model. With the localized scaling function or wavelet, the method is also capable of capturing the shock wave in the tra$c model. Moreover, due to the localized characteristics of wavelets, the bandwidths of matrices are usually very small. Therefore, a robust bandmatrix solver can be employed to enhance computational e$ciency. Numerical examples are given to demonstrate the e!ectiveness of the proposed method.

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