Wavelet optimized upwind conservative method for traffic flow problems

Deepika Sharma and Kavita Goyal ()
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Deepika Sharma: School of Mathematics, Thapar Institute of Engineering and Technology, Patiala
Kavita Goyal: School of Mathematics, Thapar Institute of Engineering and Technology, Patiala

International Journal of Modern Physics C (IJMPC), 2020, vol. 31, issue 06, 1-23

Abstract: Numerical schemes, namely, upwind nonconservative, upwind conservative, Lax–Friedrichs, Lax–Wendroff, MacCormack and Godunov are applied and compared on traffic flow problems. The best scheme, namely, upwind conservative is used for wavelet-optimized method using Daubechies wavelet for numerically solving the same traffic flow problems. Numerical results corresponding to the traffic flow problem with the help of wavelet-optimized, adaptive grid, upwind conservative method have been given. Moreover, the run time carried out by the developed technique have been compared to that of run time carried out by finite difference technique. It is observed that, in terms of run time, the proposed method performs better.

Keywords: Traffic flow; wavelets; Daubechies wavelet; adaptivity; Burger’s equation (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1142/S0129183120500862

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