Stability analysis and convergence rate of a two-step predictor-corrector approach for shallow water equations with source terms

Stability analysis and convergence rate of a two-step predictor-corrector approach for shallow water equations with source terms

This paper deals with a two-step explicit predictor-corrector approach so-called the two-step MacCormack formulation, for solving the one-dimensional nonlinear shallow water equations with source terms. The proposed two-step numerical scheme uses the fractional steps procedure to treat the friction...

Full description

Bibliographic Details
Main Authors: Rubayyi T. Alqahtani, Jean C. Ntonga, Eric Ngondiep
Format: Article
Language:English
Published: AIMS Press 2023-02-01
Series:AIMS Mathematics
Subjects:
shallow water equations
source terms
a two-step explicit predictor-corrector approach
fourier stability analysis
linear stability condition
convergence rate
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023465?viewType=HTML

Internet

https://www.aimspress.com/article/doi/10.3934/math.2023465?viewType=HTML

Similar Items