Stability Analysis of Steady State Solutions of Sine–Gordon Equation

Al-Rafidain Journal of Computer Sciences and Mathematics

卷:4

Saad Manna¹  Norjan Juma¹ 

[1] College of Computer Science and Mathematics University of Mosul, Iraq;

关键词: stability analysis;    sine–gordon equation;    fourier mode;    galerkin technique;   

DOI  :  10.33899/csmj.2007.164024

来源: DOAJ

【 摘 要 】

The 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.

【 授权许可】

Unknown