NUMERICAL SIMULATION OF ROSENAU-KORTEWEG-DE VRIES REGULARIZED LONG WAVE EQUATION WITH FLUX LIMITERS METHOD

OUEDRAOGO Mamadou; LAMIEN Kassiénou; SOMA Mifiamba; SO Ousséni

OUEDRAOGO Mamadou Institut des Sciences et de Technologie, Ecole Normale Supérieure IST/ENS, 01 BP 1757 Ouaga 01, Burkina Faso; Laboratoire d’Analyse Numérique d'Informatique et de BIOmathématique LANIBIO, Université Joseph KI-ZERBO, Burkina Faso
LAMIEN Kassiénou Institut des Sciences et de Technologie, Ecole Normale Supérieure IST/ENS, 01 BP 1757 Ouaga 01, Burkina Faso; Laboratoire d’Analyse Numérique d'Informatique et de BIOmathématique LANIBIO, Université Joseph KI-ZERBO, Burkina Faso
SOMA Mifiamba Laboratoire d’Analyse Numérique d'Informatique et de BIOmathématique LANIBIO, Université Joseph KI-ZERBO, Burkina Faso; Département de Mathématiques, Université Thomas SANKARA (Centre Universitaire de Tenkodogo), Burkina Faso
SO Ousséni Institut des Sciences et de Technologie, Ecole Normale Supérieure IST/ENS, 01 BP 1757 Ouaga 01, Burkina Faso; Laboratoire d’Analyse Numérique d'Informatique et de BIOmathématique LANIBIO, Université Joseph KI-ZERBO, Burkina Faso

Article ID: 2418

Keywords: flux limiter method; Rosenau-Korteweg-de Vries-regularized long wave; error norm; invariant

Abstract

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.

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