Cellular neural networks (CNN) simulation for the TN approximation of the time dependent neutron transport equation in slab geometry

2008 ◽  
Vol 35 (12) ◽  
pp. 2313-2320 ◽  
Author(s):  
Kamal Hadad ◽  
Ahmad Pirouzmand ◽  
Navid Ayoobian
Keyword(s):  
Neural Networks ◽  
Transport Equation ◽  
Neutron Transport ◽  
Cellular Neural Networks ◽  
Time Dependent ◽  
Neutron Transport Equation ◽  
Slab Geometry

HNsolutions of the time dependent linear neutron transport equation for a slab and a sphere

Kerntechnik ◽  
2007 ◽  
Vol 72 (1-2) ◽  
pp. 66-73 ◽  
Author(s):  
G. Türeci ◽  
M. C. Güleçyüz ◽  
C. Tezcan
Keyword(s):  
Transport Equation ◽  
Neutron Transport ◽  
Time Dependent ◽  
Neutron Transport Equation

scholarly journals A SPLITTING ITERATIVE METHOD FOR SOLVING THE NEUTRON TRANSPORT EQUATION

2009 ◽  
Vol 14 (3) ◽  
pp. 271-289 ◽  
Author(s):  
Onana Awono ◽  
Jacques Tagoudjeu
Keyword(s):  
Steady State ◽  
Iterative Method ◽  
Transport Equation ◽  
Multigrid Method ◽  
Neutron Transport ◽  
Dimensional Space ◽  
Two Dimensional ◽  
Numerical Treatment ◽  
Neutron Transport Equation ◽  
Slab Geometry

This paper presents an iterative method based on a self‐adjoint and m‐accretive splitting for the numerical treatment of the steady state neutron transport equation. Theoretical analysis shows that this method converges unconditionally to the unique solution of the transport equation. The convergence of the method is numerically illustrated and compared with the standard Source Iteration method and multigrid method on sample problems in slab geometry and in two dimensional space.

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