Numerical Stability of Brusselator System
AL-Rafidain Journal of Computer Sciences and Mathematics,
2011, Volume 8, Issue 2, Pages 43-52
AbstractThe 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.
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