In this paper, the flux limiter technique based on the method of lines is designed to simulate the nonlinear Rosenau-Korteweg-de Vries-regularized long wave equation. In order to illustrate the efficiency, accuracy and essentially non-oscillatory property of the present method, the error norms, discrete mass, momentum and energy conservative properties have been calculated. These calculations give good agreement for the exact solutions and numerical solutions of solitary and shock wave.

flux limiter method, Rosenau-Korteweg-de Vries-regularized long wave, error norm, invariant.

Received: July 24, 2023;  Accepted: September 25, 2023; Published: December 1, 2023

How to cite this article: OUEDRAOGO Mamadou, LAMIEN Kassiénou, SOMA Mifiamba and SO Ousséni, Numerical simulation of Rosenau-Korteweg-de Vries regularized long wave equation with flux limiters method, Advances in Differential Equations and Control Processes 30(4) (2023), 323-343. http://dx.doi.org/10.17654/0974324323018

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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