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  • 标题:A POD-based reduced-order FD extrapolating algorithm for traffic flow
  • 本地全文:下载
  • 作者:Zhendong Luo ; Di Xie ; Fei Teng
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2014
  • 卷号:2014
  • 期号:1
  • 页码:269
  • DOI:10.1186/1687-1847-2014-269
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:A traffic flow Lighthill, Whitham, and Richards (LWR) model is studied by means of a proper orthogonal decomposition (POD) technique. A POD-based reduced-order finite difference (FD) extrapolating algorithm (FDEA) with lower dimension and fully second-order accuracy is established. Two numerical experiments are used to show that the POD reduced-order FDEA is feasible and efficient for finding numerical solutions of traffic flow LWR model. MSC:76M20, 65M12, 65M15.
  • 关键词:traffic flow LWR model ; proper orthogonal decomposition ; reduced-order finite difference extrapolating algorithm ; numerical simulation
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