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Wavelet optimized upwind conservative method for traffic flow problems

Author

Listed:
  • Deepika Sharma

    (School of Mathematics, Thapar Institute of Engineering and Technology, Patiala)

  • Kavita Goyal

    (School of Mathematics, Thapar Institute of Engineering and Technology, Patiala)

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.

Suggested Citation

  • Deepika Sharma & Kavita Goyal, 2020. "Wavelet optimized upwind conservative method for traffic flow problems," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 31(06), pages 1-23, June.
    • Handle: RePEc:wsi:ijmpcx:v:31:y:2020:i:06:n:s0129183120500862
    DOI: 10.1142/S0129183120500862
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