2020-04-04

In this work, we studied the numerical solution of the brusselator model in one dimension using FDM including Explicit and Implicit methods; FEM with weighted residual methods and iterative method, also we studied the numerical solution of brusselator model in two dimensions using ADI and ADEmethods, besides we studied the numerical stability of FDM for explicit and implicit methods, the numerical stability analysis of the brusselator system was done in one-dimensional space and two-dimensional space , for one dimensional space we have studied the numerical stability for explicit and implicit methods and we have found the stability condition for explicit method, whereas for the implicit method is unconditionally stable, for two-dimensional space we found stability condition for ADE method and ADI is unconditionally stable