A POD-based reduced-order FD extrapolating algorithm for traffic flow

Advances in Difference Equations

Fei Teng¹  Zhendong Luo²  Di Xie² 

[1] School of Mathematics Sciences, Kaili College, Kaili, China;School of Mathematics and Physics, North China Electric Power University, Beijing, China

关键词: traffic flow LWR model;    proper orthogonal decomposition;    reduced-order finite difference extrapolating algorithm;    numerical simulation;   

DOI  :  10.1186/1687-1847-2014-269

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY