A Reduced-Order Extrapolating FDM for Conserved High-Order Anisotropic Traffic Flow Models

LUO Zhen-dong; XU Yuan

doi:10.3879/j.issn.1000-0887.2015.08.009

Volume 36 Issue 8

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LUO Zhen-dong, XU Yuan. A Reduced-Order Extrapolating FDM for Conserved High-Order Anisotropic Traffic Flow Models[J]. Applied Mathematics and Mechanics, 2015, 36(8): 875-886. doi: 10.3879/j.issn.1000-0887.2015.08.009

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A Reduced-Order Extrapolating FDM for Conserved High-Order Anisotropic Traffic Flow Models

doi: 10.3879/j.issn.1000-0887.2015.08.009

School of Mathematics and Physics, North China Electric Power University,Beijing 102206, P.R.China

Funds: The National Natural Science Foundation of China(11271127)

Received Date: 2015-03-16
Rev Recd Date: 2015-07-03
Publish Date: 2015-08-15

Abstract

Abstract

A reduced-order extrapolating finite difference method (FDM) with sufficiently high accuracy and very few degrees of freedom for conserved high-order anisotropic traffic flow models was established by means of the Godunov fluid method and the POD technique. The error estimate of the reduced-order approximate solutions and the algorithm implementation of the reduced-order extrapolating difference scheme were presented. Finally, a numerical example was used to illustrate that the results of the proposed method were consistent with those of the classic difference scheme. Moreover, the high efficiency and sufficient accuracy of the reduced-order extrapolating simulation method are shown.
- Godunov fluid,
- conserved high-order anisotropic traffic flow model,
- reduced-order extrapolating finite difference scheme,
- POD,
- error estimate

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References(26)

References

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