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AL-Rafidain Journal of Computer Sciences and Mathematics

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Stability Study of Stationary Solutions of the Viscous Burgers Equation

    Mohammad Sabawi

AL-Rafidain Journal of Computer Sciences and Mathematics, 2007, Volume 4, Issue 1, Pages 19-40
10.33899/csmj.2007.163993

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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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(2007). Stability Study of Stationary Solutions of the Viscous Burgers Equation. AL-Rafidain Journal of Computer Sciences and Mathematics, 4(1), 19-40. doi: 10.33899/csmj.2007.163993
Mohammad Sabawi. "Stability Study of Stationary Solutions of the Viscous Burgers Equation". AL-Rafidain Journal of Computer Sciences and Mathematics, 4, 1, 2007, 19-40. doi: 10.33899/csmj.2007.163993
(2007). 'Stability Study of Stationary Solutions of the Viscous Burgers Equation', AL-Rafidain Journal of Computer Sciences and Mathematics, 4(1), pp. 19-40. doi: 10.33899/csmj.2007.163993
Stability Study of Stationary Solutions of the Viscous Burgers Equation. AL-Rafidain Journal of Computer Sciences and Mathematics, 2007; 4(1): 19-40. doi: 10.33899/csmj.2007.163993
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