On the numerical solution of the point reactor kinetics equations

D. Suescún-Díaz; G. Espinosa-Paredes

doi:10.1016/j.net.2019.11.034

On the numerical solution of the point reactor kinetics equations

Nuclear Engineering and Technology ◽

10.1016/j.net.2019.11.034 ◽

2020 ◽

Vol 52 (6) ◽

pp. 1340-1346

Author(s):

D. Suescún-Díaz ◽

G. Espinosa-Paredes

Keyword(s):

Numerical Solution ◽

Reactor Kinetics ◽

Point Reactor Kinetics

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On the Numerical Solution of the Point Reactor Kinetics Equations by Generalized Runge-Kutta Methods

Nuclear Science and Engineering ◽

10.13182/nse89-a23663 ◽

1989 ◽

Vol 103 (1) ◽

pp. 94-99 ◽

Cited By ~ 64

Author(s):

J. Sánchez

Keyword(s):

Numerical Solution ◽

Reactor Kinetics ◽

Runge Kutta ◽

Point Reactor Kinetics

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Numerical solution of the point reactor kinetics equations with fuel burn-up and temperature feedback

Annals of Nuclear Energy ◽

10.1016/j.anucene.2009.10.013 ◽

2010 ◽

Vol 37 (2) ◽

pp. 265-269 ◽

Cited By ~ 9

Author(s):

S. Tashakor ◽

G. Jahanfarnia ◽

M. Hashemi-Tilehnoee

Keyword(s):

Numerical Solution ◽

Reactor Kinetics ◽

Fuel Burn ◽

Temperature Feedback ◽

Point Reactor Kinetics

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Numerical Solution of the Reactor Kinetics Equations by Approximate Exponentials

Nuclear Science and Engineering ◽

10.13182/nse66-a17735 ◽

1966 ◽

Vol 25 (2) ◽

pp. 183-188 ◽

Cited By ~ 18

Author(s):

T. A. Porsching

Keyword(s):

Numerical Solution ◽

Reactor Kinetics

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Application of the Wiener-Hermite functional method to a linear feedback model of point reactor kinetics driven by random reactivity noise

Annals of Nuclear Energy ◽

10.1016/s0306-4549(96)00043-6 ◽

1997 ◽

Vol 24 (8) ◽

pp. 587-623 ◽

Cited By ~ 4

Author(s):

K. Behringer ◽

J. Piñeyro

Keyword(s):

Functional Method ◽

Linear Feedback ◽

Reactor Kinetics ◽

Feedback Model ◽

Point Reactor Kinetics

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Analytical solution of the Telegraph Point Reactor Kinetics model during the cold start-up of a nuclear reactor

Annals of Nuclear Energy ◽

10.1016/j.anucene.2017.06.001 ◽

2017 ◽

Vol 109 ◽

pp. 574-582 ◽

Cited By ~ 2

Author(s):

Muhammad Ramzy Altahhan ◽

Ahmed E. Aboanber ◽

Hanaa H. Abou-Gabal

Keyword(s):

Analytical Solution ◽

Nuclear Reactor ◽

Cold Start ◽

Kinetics Model ◽

Reactor Kinetics ◽

Start Up ◽

Point Reactor Kinetics

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Development and analysis of some versions of the fractional-order point reactor kinetics model for a nuclear reactor with slab geometry

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2012.11.012 ◽

2013 ◽

Vol 18 (7) ◽

pp. 1840-1856 ◽

Cited By ~ 25

Author(s):

Vishwesh A. Vyawahare ◽

P.S.V. Nataraj

Keyword(s):

Fractional Order ◽

Nuclear Reactor ◽

Kinetics Model ◽

Slab Geometry ◽

Reactor Kinetics ◽

Point Reactor Kinetics

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Analytical representation of the solution of the point reactor kinetics equations with adaptive time step

Progress in Nuclear Energy ◽

10.1016/j.pnucene.2013.07.008 ◽

2014 ◽

Vol 70 ◽

pp. 112-118 ◽

Cited By ~ 10

Author(s):

Sérgio Q. Bogado Leite ◽

Daniel A.P. Palma ◽

Marco Tullio de Vilhena ◽

Bardo E.J. Bodmann

Keyword(s):

Analytical Representation ◽

Time Step ◽

Reactor Kinetics ◽

Adaptive Time Step ◽

Adaptive Time ◽

Point Reactor Kinetics

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A note on “A comment on the paper: Numerical treatment for the point reactor kinetics equations using theta method, eigenvalues and eigenvectors, by Abdallah A. Nahla in Progress in Nuclear Energy 85 (2015) 756–763” by B.D. Ganapol

Progress in Nuclear Energy ◽

10.1016/j.pnucene.2016.07.005 ◽

2016 ◽

Vol 92 ◽

pp. 223-225

Author(s):

Abdallah A. Nahla

Keyword(s):

Nuclear Energy ◽

Numerical Treatment ◽

Eigenvalues And Eigenvectors ◽

Reactor Kinetics ◽

Point Reactor Kinetics ◽

Theta Method

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Homotopy analysis solution of point reactor kinetics equations with six-group delayed neutrons

Acta Physica Sinica ◽

10.7498/aps.61.070201 ◽

2012 ◽

Vol 61 (7) ◽

pp. 070201

Author(s):

Zhu Qian ◽

Shang Xue-Li ◽

Chen Wen-Zhen

Keyword(s):

Delayed Neutrons ◽

Reactor Kinetics ◽

Homotopy Analysis ◽

Point Reactor Kinetics

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ASYMPTOTIC FORMULAS FOR APPROXIMATE NUMERICAL SOLUTION OF THE REACTOR KINETICS EQUATIONS.

10.2172/4169402 ◽

1970 ◽

Author(s):

D MacMillan

Keyword(s):

Numerical Solution ◽

Asymptotic Formulas ◽

Reactor Kinetics

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