4.5 Article

Analysis of the fractional neutron point kinetics (FNPK) equation

Journal

ANNALS OF NUCLEAR ENERGY
Volume 92, Issue -, Pages 363-368

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.anucene.2016.02.009

Keywords

Nuclear reactor; Fraction neutron point kinetics; Anomalous diffusion coefficient; Relaxation time

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The aim of this work is investigate the effects of each term of fractional neutron point kinetics (FNPK) equations. The FNPK approach includes three fractional derivatives, which are explored in this work to understand their effect on the neutron density, the concentration of neutron precursors, and the source term. According with the results of the numerical experiments, the derivative with respect to time of the source term is negligible and the FNPK is simplified. (C) 2016 Elsevier Ltd. All rights reserved.

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