The mR scheme to the shallow water equation with horizontal density gradients in one and two dimensions

In this work, we consider the model of shallow water equation with horizontal density gradients. We develop the modified Rusanov (mR) scheme to solve this model in one and two dimensions. Predictor and corrector are the two stages of the suggested scheme. The predictor stage is dependent on a local...

Full description

Bibliographic Details
Main Authors: Kamel Mohamed, H. S. Alayachi, Mahmoud A. E. Abdelrahman
Format: Article
Language:English
Published: AIMS Press 2023-09-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20231314?viewType=HTML