Non-local traffic flow models with time delay: well-posedness and numerical approximation
Analysis of PDEs
2024-04-17 v1 Numerical Analysis
Numerical Analysis
Abstract
We prove the well-posedness of weak entropy solutions of a scalar non-local traffic flow model with time delay. Existence is obtained by convergence of finite volume approximate solutions constructed by Lax-Friedrich and Hilliges-Weidlich schemes, while the L1 stability with respect to the initial data and the delay parameter relies on a Kruzkov-type doubling of variable technique.Numerical tests are provided to illustrate the efficiency of the proposed schemes, as well as the solution dependence on the delay and look-ahead parameters.
Cite
@article{arxiv.2404.10368,
title = {Non-local traffic flow models with time delay: well-posedness and numerical approximation},
author = {Ilaria Ciaramaglia and Paola Goatin and Gabriella Puppo},
journal= {arXiv preprint arXiv:2404.10368},
year = {2024}
}