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A Hybrid HWENO Scheme for a Multi-class Traffic Flow Model with Heterogeneous Factors on Highroad

  • Qi Meng ,
  • Jianxian Qiu
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  • School of Mathematical Sciences and Fujian Provincial Key Laboratory of Mathematical Modeling and High-Performance Scientific Computing, Xiamen University, Xiamen, 361005, Fujian, China

Received date: 2024-07-20

  Revised date: 2024-10-18

  Online published: 2026-04-07

Supported by

The research is supported partly by the National Natural Science Foundation of China (Grant No. 12071392).

Abstract

A hybrid fifth-order finite volume Hermite weighted essentially non-oscillatory (HWENO) scheme is applied for the solution of a multi-class traffic flow model (mcLWR model) with heterogeneous factors on the highroad. Since the hybrid HWENO scheme could avoid oscillations near discontinuities while maintaining efficiency and compactness, it can be a reliable numerical method and tool for the simulation and prediction of rapidly changing the traffic flow. The benchmark examples of Riemann problems and traffic signal control problems are given, and results indicate that the hybrid HWENO numerical scheme can obtain the fifth-order precision, and also has higher resolution and accuracy than the hybrid WENO scheme.

Cite this article

Qi Meng , Jianxian Qiu . A Hybrid HWENO Scheme for a Multi-class Traffic Flow Model with Heterogeneous Factors on Highroad[J]. Communications on Applied Mathematics and Computation, 2026 , 8(2) : 722 -735 . DOI: 10.1007/s42967-024-00470-2

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