Numerical Stability of Brusselator System

Section: Research Paper
Issue
Vol. 8 No. 2 (2011): Volume 8 Issue 2
Pages
43-52

Keywords:

numerical stability, Brusselator system

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.

References

Authors

Saad A. Manaa

College of Sciences University of Zakho

Rostam K. Saeed

College of Science Salahaddin University, Iraq

Fadhil H. Easif

College of Education University of Duhok

Identifiers

DOI: 10.33899/csmj.2011.163640

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Numerical Stability of Brusselator System. (2011). AL-Rafidain Journal of Computer Sciences and Mathematics, 8(2), 43-52. https://doi.org/10.33899/csmj.2011.163640
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How to Cite

Numerical Stability of Brusselator System. (2011). AL-Rafidain Journal of Computer Sciences and Mathematics, 8(2), 43-52. https://doi.org/10.33899/csmj.2011.163640