Fractional neutron point kinetics equations for nuclear reactor dynamics – Numerical solution investigations

Annals of Nuclear Energy ◽

10.1016/j.anucene.2014.07.001 ◽

2014 ◽

Vol 73 ◽

pp. 317-329 ◽

Cited By ~ 29

Author(s):

Tomasz Karol Nowak ◽

Kazimierz Duzinkiewicz ◽

Robert Piotrowski

Keyword(s):

Numerical Solution ◽

Nuclear Reactor ◽

Reactor Dynamics ◽

Point Kinetics

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Efficient numerical solution of the point kinetics equations in nuclear reactor dynamics

Annals of Nuclear Energy ◽

10.1016/j.anucene.2003.12.008 ◽

2004 ◽

Vol 31 (9) ◽

pp. 1039-1051 ◽

Cited By ~ 76

Author(s):

Matthew Kinard ◽

E.J. Allen

Keyword(s):

Numerical Solution ◽

Nuclear Reactor ◽

Reactor Dynamics ◽

Point Kinetics

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Scaled neutron point kinetics (SUNPK) equations for nuclear reactor dynamics: 2D approximation

Annals of Nuclear Energy ◽

10.1016/j.anucene.2018.01.020 ◽

2018 ◽

Vol 115 ◽

pp. 377-386 ◽

Cited By ~ 3

Author(s):

Gilberto Espinosa-Paredes ◽

Carlos G. Aguilar-Madera

Keyword(s):

Nuclear Reactor ◽

Reactor Dynamics ◽

Point Kinetics

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04/03103 Efficient numerical solution of the point kineticsequations in nuclear reactor dynamics

Fuel and Energy Abstracts ◽

10.1016/s0140-6701(04)80908-1 ◽

2004 ◽

Vol 45 (6) ◽

pp. 436

Keyword(s):

Numerical Solution ◽

Nuclear Reactor ◽

Reactor Dynamics

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Stochastic point-kinetics equations in nuclear reactor dynamics

Annals of Nuclear Energy ◽

10.1016/j.anucene.2004.11.009 ◽

2005 ◽

Vol 32 (6) ◽

pp. 572-587 ◽

Cited By ~ 54

Author(s):

J.G. Hayes ◽

E.J. Allen

Keyword(s):

Nuclear Reactor ◽

Reactor Dynamics ◽

Point Kinetics

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Fractional-space neutron point kinetics (F-SNPK) equations for nuclear reactor dynamics

Annals of Nuclear Energy ◽

10.1016/j.anucene.2016.08.007 ◽

2017 ◽

Vol 107 ◽

pp. 136-143 ◽

Cited By ~ 20

Author(s):

Gilberto Espinosa-Paredes

Keyword(s):

Nuclear Reactor ◽

Reactor Dynamics ◽

Point Kinetics ◽

Fractional Space

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Physics-informed neural networks for the point kinetics equations for nuclear reactor dynamics

Annals of Nuclear Energy ◽

10.1016/j.anucene.2021.108833 ◽

2021 ◽

pp. 108833

Author(s):

Enrico Schiassi ◽

Mario De Florio ◽

Barry D. Ganapol ◽

Paolo Picca ◽

Roberto Furfaro

Keyword(s):

Neural Networks ◽

Nuclear Reactor ◽

Reactor Dynamics ◽

Point Kinetics

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Comment on the paper: Espinosa-Parrdes, et al., 2011. Fractional neutron point kinetics equations for nuclear reactor dynamics. Ann. Nucl. Energ. 38, 307–330

Annals of Nuclear Energy ◽

10.1016/j.anucene.2015.08.023 ◽

2016 ◽

Vol 88 ◽

pp. 301-302 ◽

Cited By ~ 14

Author(s):

Ahmed E. Aboanber ◽

Abdallah A. Nahla

Keyword(s):

Nuclear Reactor ◽

Reactor Dynamics ◽

Point Kinetics

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Higher-order approximate solutions of fractional stochastic point kinetics equations in nuclear reactor dynamics

Nuclear Science and Techniques ◽

10.1007/s41365-019-0566-6 ◽

2019 ◽

Vol 30 (3) ◽

Cited By ~ 3

Author(s):

S. Singh ◽

S. Saha Ray

Keyword(s):

Nuclear Reactor ◽

Approximate Solutions ◽

Higher Order ◽

Reactor Dynamics ◽

Point Kinetics

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Numerical solution of fractional stochastic neutron point kinetic equation for nuclear reactor dynamics

Annals of Nuclear Energy ◽

10.1016/j.anucene.2012.11.007 ◽

2013 ◽

Vol 54 ◽

pp. 154-161 ◽

Cited By ~ 25

Author(s):

S. Saha Ray ◽

A. Patra

Keyword(s):

Kinetic Equation ◽

Numerical Solution ◽

Nuclear Reactor ◽

Reactor Dynamics

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Numerical solution for stochastic point-kinetics equations with sinusoidal reactivity in dynamical system of nuclear reactor

International Journal of Nuclear Energy Science and Technology ◽

10.1504/ijnest.2013.052165 ◽

2013 ◽

Vol 7 (3) ◽

pp. 231 ◽

Cited By ~ 8

Author(s):

S. Saha Ray ◽

A. Patra

Keyword(s):

Dynamical System ◽

Numerical Solution ◽

Nuclear Reactor ◽

Point Kinetics

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