تقرير
Non-local traffic flow models with time delay: well-posedness and numerical approximation
| العنوان: | Non-local traffic flow models with time delay: well-posedness and numerical approximation |
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| المؤلفون: | Ciaramaglia, Ilaria, Goatin, Paola, Puppo, Gabriella |
| سنة النشر: | 2024 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs, Mathematics - Numerical Analysis |
| الوصف: | 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. |
| نوع الوثيقة: | Working Paper |
| الوصول الحر: | http://arxiv.org/abs/2404.10368Test |
| رقم الانضمام: | edsarx.2404.10368 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |