IJAM: Volume 37, No. 2 (2024)

DOI: 10.12732/ijam.v37i2.2

UNSTAGGERED CENTRAL

SCHEMES FOR ONE-DIMENSIONAL

NONLOCAL CONSERVATION LAWS

Said Belkadi 1,§ , Mohamed Atounti 2

1,2 Mohammed First University-Oujda

Pluridisciplinary Faculty of Nador, MOROCCO

Abstract. We describe a new family of second-order, unstaggered central finite volume

methods for one-dimensional nonlocal traffic flow models. The main advantage of the presented method is its ability to evolve the numerical solution on a single grid, avoid solving Riemann problems at the cell interfaces, and alternate between an original and a staggered grid. Our numerical results demonstrate the effectiveness and performance of the suggested method

by comparing them favorably to those produced using the original Nessyahu-Tadmor (NT) method.

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How to cite this paper?
DOI: 10.12732/ijam.v37i2.2
Source: International Journal of Applied Mathematics
ISSN printed version: 1311-1728
ISSN on-line version: 1314-8060
Year: 2024
Volume: 37
Issue: 2

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IJAM: Volume 37, No. 2 (2024)

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