Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 205
A Class of Central Unstaggered Schemes for nonlocal Conservation Laws: Applications to Traffic Flow models.
Said 1 Belkadi, Mohamed Atounti
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 25, 2022
March 03, 2181
April 15, 2181

Abstract: In this paper, we present a new class of central unstaggered finite volume methods for approximating solutions of nonlocal conservation laws. The proposed method is an extension of the non-oscillatory central scheme of Nessyahu and Tadmor (NT). In contrast to the NT scheme, the method we develop evolves the numerical solution on a single grid but implicitly uses ghost cells to avoid the resolution of the Riemann problems at the cell interfaces. We apply our method and solve the one-dimensional nonlocal traffic flow problems. The numerical results we present, show the desired accuracy, high ...