Numerical solution and stability analysis of the Sine-Gordon system in two dimensions | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Article 18, Volume 9, Issue 1, June 2012, Pages 13-25 PDF (437.21 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/csmj.2012.163684 | ||
| Authors | ||
| Saad A. Manna1; Haneen T. Jassim2 | ||
| 1College of Science Zakho University | ||
| 2College of Computer Science and Mathematics University of Mosul | ||
| Abstract | ||
| This paper deals with the numerical solution for Sine-Gordon system in two dimensions using two finite difference methods the (ADE) and (ADI) methods .A comparison between the two methods has been done and we have obtained that the (ADE) method is the easer while the (ADI) method is more accurate than the (ADE) method. We also studied the stability analysis for each method by using Fourier (Von Neumann) method and we have obtained that the (ADI) method is unconditionally stable while the (ADE) method is stable under the condition and where is the ratio of the waves speed u , w and . | ||
| Keywords | ||
| Finite difference methods; Sine-Gordon system | ||
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