Numerical Solutions and Stability Analysis of Brusselator System - Couverture souple

Easif, Fadhil H; Manaa, Saad A; Saeed, Rostam K

 
9786200775085: Numerical Solutions and Stability Analysis of Brusselator System
Couverture souple
ISBN 10 : 6200775087 ISBN 13 : 9786200775085
Editeur : Noor Publishing, 2020

Synopsis

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 methods. Also, we studied the numerical solution of the Brusselator model in two dimensions using ADI ( Alternating Direction Implicit) and ADE (Alternating Direction Explicit) methods. Besides, we studied the numerical stability of FDM (explicit and implicit methods); the numerical stability analysis of the Brusselator system was done in one-dimensional space and two-dimensional spaces. For one dimensional space, we have studied the numerical stability for explicit and implicit (Crank- Nicolson) methods and we have found the stability condition for explicit method, whereas the implicit method is unconditionally stable. For two dimensional space, we found the stability condition for ADE method, while ADI is unconditionally stable.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
Noor Publishing
Date d'édition
2020
Langue
anglais
ISBN 10 
6200775087
ISBN 13 
9786200775085
Reliure
Broché
Nombre de pages
108
Coordonnées du fabricant
non disponible
Personne responsable
non disponible