الملخص

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.