TY  - JOUR
T1  - Stochastic Neutron Density Employing Different Uncertainties
AU - Suescun-Diaz, Daniel AU - H. Figueroa-Jimenez, Jorge AU - Oviedo-Torres, Yohan M. 
JO  - Journal of Engineering and Applied Sciences
VL  - 14
IS  - 22
SP  - 8348
EP  - 8355
PY  - 2019
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2019.8348.8355
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2019.8348.8355
KW  - Brownian motion
KW  -Euler-Maruyama
KW  -neutron density
KW  -nuclear reactors
KW  -stochastic point kinetic
equations
KW  -literature
AB  - In this study, a numerical study of the stochastic dynamics of a nuclear reactor is carried out using
the Euler-Maruyama method to resolve the stochastic point kinetic equations. The method was tested using
different uncertainties, initial conditions and different forms of reactivity with one and six groups of delayed
neutron precursors using up to 5000 Brownian trajectories for each numerical results. The average expected
values, standard deviations of neutron density and delayed neutron precursors were calculated in each
computational experiment. It was compared with other methods reported in literature and on average with the
deterministic model of point kinetics, demonstrating that the Euler-Maruyama method for this proposal, apart
from being easy to implement is extremely precise in obtaining expected values.
ER  -