AL-Rafidain Journal of Computer Sciences and Mathematics

Abstract

Stability study of stationary solutions of the viscous Burgers equation using Fourier mode stability analysis for the stationary solutions , where  is constant and , in two cases is analyzed. Firstly when the wave amplitude  is constant and secondly when the wave amplitude  is variable. In the case of constant amplitude, the results found to be: The solution  is always stable while the solution  is conditionally stable. In the case of variable amplitude, it has been found that the solutions  and  are conditionally stable.