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Numerical Stability of Brusselator System | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Article 4, Volume 8, Issue 2, 2011, Pages 43-52 PDF (423.4 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/csmj.2011.163640 | ||
| Authors | ||
| Saad A. Manaa1; Rostam K. Saeed2; Fadhil H. Easif3 | ||
| 1College of Sciences University of Zakho | ||
| 2College of Science Salahaddin University, Iraq | ||
| 3College of Education University of Duhok | ||
| Abstract | ||
| The numerical stability analysis of Brusselator system has been done in one and two dimensional space. For one dimension we studied the numerical stability for explicit and implicit (Crank- Nicolson) methods and we found that explicit method for solving Brusselator system is stable under the conditions , and While the implicit method is unconditionally stable. For two dimensional space we found that ADE method is stable under condition , and , while ADI is unconditionally stable. | ||
| Keywords | ||
| numerical stability; Brusselator system | ||
|
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