Stability Analysis of Steady State Solutions of Sine–Gordon Equation
AL-Rafidain Journal of Computer Sciences and Mathematics,
2007, Volume 4, Issue 2, Pages 11-29
AbstractThe stability analysis of steady state solutions of Sine–Gordon equation using Fourier mode stability analysis in two cases has been considered : Firstly when the amplitude is constant and secondly when the amplitude is variable in the two cases the results were found to be : The steady state solutions and are unconditionally stable . In the second case the comparison between the analytical solution and the numerical solution of Galerkin technique has been done . This comparison showed that the analytical solution and the numerical solution of Galerkin technique are the same.
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