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Stability Study of Stationary Solutions of the Viscous Burgers Equation | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Article 2, Volume 4, Issue 1, 2007, Pages 19-40 PDF (539.42 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/csmj.2007.163993 | ||
| Author | ||
| Mohammad Sabawi | ||
| College of Computer sciences and Mathematics University of Mosul, Iraq | ||
| 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. | ||
| Keywords | ||
| Burgers Equation; Stability Analysis; Stationary Solutions | ||
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