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Numerical Solutions and Stability Analysis of Brusselator System

Numerical Solutions and Stability Analysis of Brusselator System

Fadhil H. Easif / Fadhil HEasif / Rostam K. Saeed / Rostam KSaeed / Saad A. Manaa / Saad AManaa

31,90 €
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Editorial:
KS OmniScriptum Publishing
Año de edición:
2020
Materia
Matemáticas
ISBN:
9786200775085
31,90 €
IVA incluido
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Sobre IBD

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.

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