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AL-Rafidain Journal of Computer Sciences and Mathematics

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Numerical Stability of Brusselator System

    Saad A. Manaa Rostam K. Saeed Fadhil H. Easif

AL-Rafidain Journal of Computer Sciences and Mathematics, 2011, Volume 8, Issue 2, Pages 43-52
10.33899/csmj.2011.163640

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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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(2011). Numerical Stability of Brusselator System. AL-Rafidain Journal of Computer Sciences and Mathematics, 8(2), 43-52. doi: 10.33899/csmj.2011.163640
Saad A. Manaa; Rostam K. Saeed; Fadhil H. Easif. "Numerical Stability of Brusselator System". AL-Rafidain Journal of Computer Sciences and Mathematics, 8, 2, 2011, 43-52. doi: 10.33899/csmj.2011.163640
(2011). 'Numerical Stability of Brusselator System', AL-Rafidain Journal of Computer Sciences and Mathematics, 8(2), pp. 43-52. doi: 10.33899/csmj.2011.163640
Numerical Stability of Brusselator System. AL-Rafidain Journal of Computer Sciences and Mathematics, 2011; 8(2): 43-52. doi: 10.33899/csmj.2011.163640
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