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 计算数学 2013, Vol. 35 Issue (2): 159-170    DOI:
 论文 最新目录 | 下期目录 | 过刊浏览 | 高级检索 Previous Articles  |  Next Articles 1. 华北电力大学数理学院, 北京 102206;
2. 贵州师范大学数学与计算机科学学院, 贵阳 550001
A EXTRAPOLATION REDUCED-ORDER FDS BASED ON POD TECHNIQUE FOR TRAFFIC FLOW MODEL
Luo Zhendong1, Gao Junqiang1, Sun Ping2, An Jing2
1. School of Mathematics and Physics, North China Electric Power University, Beijing 102206, China;
2. School of Mathematics and Computer Science, Guizhou Normal University, Guiyang 550001, China
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Abstract： In this paper, a traffic flow Aw-Rascle-Zhang(ARZ) model is studied with a proper orthogonal decomposition (POD) technique. A extrapolation reduced-order finite difference scheme (FDS) based on POD method with lower dimension is established. And a numerical example is used to verify that the results of numerical computation are consistent with theoretical conclusions. Moreover, it is shown that the extrapolation reduced-order FDS based on POD method is feasible and efficient for finding numerical solutions for traffic flow equation.

 引用本文: . 交通流模型基于特征投影分解技术的外推降维有限差分格式[J]. 计算数学, 2013, 35(2): 159-170. . A EXTRAPOLATION REDUCED-ORDER FDS BASED ON POD TECHNIQUE FOR TRAFFIC FLOW MODEL[J]. Mathematica Numerica Sinica, 2013, 35(2): 159-170.

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