Superior Title: International Journal of Technology, Vol 14, Iss 5, Pp 1113-1122 (2023)
Subject Terms: inverse point kinetics equation, neutron population density, numerical experiment, reactivity, second bernoulli number, Technology, Technology (General), T1-995
File Description: electronic resource
Authors: Ruslan Irkimbekov, Alexander Vurim, Galina Vityuk, Olzhas Zhanbolatov, Zamanbek Kozhabayev, Artur Surayev
Superior Title: Energies; Volume 16; Issue 2; Pages: 932
Subject Terms: IVG.1M reactor, MCNP, code validation, multi-physics modeling, point kinetics equations
File Description: application/pdf
Relation: B4: Nuclear Energy; https://dx.doi.org/10.3390/en16020932
Availability: https://doi.org/10.3390/en16020932
Superior Title: Brazilian Journal of Radiation Sciences, Vol 10, Iss 3 (2022)
Subject Terms: Neutron Point Kinetics Equations, Temperature feedback, Absorbers poisons, Chernobyl accident simulation, Rosenbrock method, Science
File Description: electronic resource
Superior Title: Energies; Volume 15; Issue 20; Pages: 7697
Subject Terms: physics-informed neural networks, point kinetics equations, nuclear reactor, stiff ordinary differential equations, digital twin, nuclear reactor monitoring
File Description: application/pdf
Relation: B4: Nuclear Energy; https://dx.doi.org/10.3390/en15207697
Availability: https://doi.org/10.3390/en15207697
Superior Title: Universitas Scientiarum, Vol 24, Iss 3, Pp 543-563 (2019)
Subject Terms: nuclear reactor power, nuclear density, point kinetics equations, Science (General), Q1-390
File Description: electronic resource
Authors: Zohuri, BahmanAff2
Contributors: Zohuri, BahmanAff1
Superior Title: Neutronic Analysis For Nuclear Reactor Systems. :407-433
Authors: Silva, J. J. A.Aff3, Alvim, A. C. M.Aff3, Bodmann, B. E. J.Aff4, Vilhena, M. T. B.Aff4
Contributors: Constanda, Christian, editorAff1, Kirsch, Andreas, editorAff2
Superior Title: Integral Methods in Science and Engineering : Theoretical and Computational Advances. :563-575
Authors: Ahmed E. Aboanber, Abdallah A. Nahla
Superior Title: Journal of the Egyptian Mathematical Society, Vol 24, Iss 4, Pp 666-671 (2016)
Subject Terms: Point kinetics equations, Multi-group of delayed neutrons, Relaxation time effects, Riemann–Liouville definition, Fractional calculus, Mathematics, QA1-939
File Description: electronic resource
Superior Title: Universitas Scientiarum; Vol. 24 No. 3 (2019); 543-563 ; Universitas Scientiarum; Vol. 24 Núm. 3 (2019); 543-563 ; Universitas Scientiarum; v. 24 n. 3 (2019); 543-563 ; 2027-1352 ; 0122-7483
Subject Terms: nuclear reactor power, nuclear density, point kinetics equations, numerical methods, Adams-Bashforth method, Adams-Moulton method
File Description: application/pdf
Relation: https://revistas.javeriana.edu.co/index.php/scientarium/article/view/23113/23227; https://revistas.javeriana.edu.co/index.php/scientarium/article/view/23113
Subject Terms: Reacciones nucleares, Ecuaciones diferenciales con retardo - Soluciones numéricas, Nuclear reactions, Delay differential equations - Numerical solutions, Nuclear reactor power, Nuclear density, Point kinetics equations, Numerical methods, Densidade nuclear, Potência do reator nuclear, Métodos numéricos, Equações da cinetica pontual
File Description: 21 páginas; application/pdf
Relation: Volumen 24, número 3 (2019); 563; 543; 24; Suescún Díaz, D., Rasero Causil, D.A., Lozano Parada, J.H. (2019). Neutron Density Calculation Using the Generalised Adams-Bashforth-Moulton Method. Universitas Scientiarum. Pontificia Universidad Javeriana. (Vol. 24 (3), pp. 543-563, 2019. doi:10.11144/Javeriana.SC24-3.ndcu; Universitas Scientiarum; [1] Chao YA, Attard A. A resolution of the stiffness problem of reactor kinetics, Nuclear Science and Engineering, 90(1):40-46, 1985. doi:10.13182/NSE85-A17429; [2] Sánchez J. On the numerical solution of the point reactor kinetics equations by generalized Runge-Kutta methods, Nuclear Science and Engineering, 103: 94-99, 1989. doi:10.13182/NSE89-A23663; [3] Aboanber AE, Nahla AA. Solution of the point kinetics equations in the presence of Newtonian temperature feedback by Padé approximation via the analytical inversion method, Journal of Physics A: Mathematical and General, 35(45):9609-9627, 2002b. doi:10.1088/0305-4470/35/45/309; [4] Aboanber AE, Nahla AA. Generalization of the analytical inverse method for the solution of point kinetics equations, Journal of Physics A: Mathematical and General, 35(14): 3245-3263, 2002a. doi:10.1088/0305-4470/35/14/307; [5] Aboanber AE. Analytical solution of the point kinetics equations by exponential mode analysis, Progress in Nuclear Energy, 42(2): 179-197, 2003. doi:10.1016/s0140-6701(03)82201-4; [6] Kinard, M.; Allen, E. J.: Efficient numerical solution of the point kinetics equations in nuclear reactor dynamics, Annals of Nuclear Energy, 31(9): 1039-1051, 2004. doi:10.1016/j.anucene.2003.12.008; [7] Quintero LB. CORE: a numerical algorithm to solve the point kinetics equations, Annals of Nuclear Energy, 35(11): 2136-2138, 2008. doi:10.1016/j.anucene.2008.07.002; [8] Li H, Chen W, Luo L, Zhu Q. A new integral method for solving the point reactor neutron kinetics equations, Annals of Nuclear Energy, 36(4): 427-432, 2009. doi:10.1016/j.anucene.2008.11.033; [9] Nahla, A. A.: Taylor series method for solving the nonlinear point kinetics equations, Nuclear Engineering and Design, 241(5): 1592-1595, 2011. doi:10.1016/j.nucengdes.2011.02.016; [10] Hamada, Y. M.: Generalized power series method with step size control for neutron kinetics equations, Nuclear Engineering and Design, 241(8): 3032-3041, 2011. doi:10.1016/j.nucengdes.2011.05.006; [11] Hamada YM. Confirmation of accuracy of generalized power series method for the solution of point kinetics equations with feedback, Annals of Nuclear Energy, 55: 184-193, 2013. doi:10.1016/j.anucene.2012.12.013; [12] Ganapol BD. A highly accurate algorithm for the solution of the point kinetics equations, Annals of Nuclear Energy, 62: 564- 571, 2013. doi:10.1016/j.anucene.2012.06.007; [13] Picca P, Furfaro R, Ganapol B. A highly accurate technique for the solution of the non-linear point kinetics equations, Annals of Nuclear Energy, 58: 43-53, 2013. doi:10.1016/j.anucene.2013.03.004; [14] Salah A. Hassan SA. Samia.: The Analytical Algorithm for the Differential Transform Method to Solution of the Reactor Point kinetics Equations, World Applied Sciences Journal, 27(3):367-370, 2013. doi:10.5829/idosi.wasj.2013.27.03.1601; [15] Kim HT, Park Y, Kazantzis N, Parlos A, Vista IV F, Chong KT. A numerical solution to the point kinetic equations using Taylor-Lie series combined with a scaling and squaring technique, Nuclear Engineering and Design, 272: 1-10, 2014. doi:10.1016/j.nucengdes.2013.12.066; [16] Patra A, Ray SS. A numerical approach based on Haar wavelet operational method to solve neutron point kinetics equation involving imposed reactivity insertions, Annals of Nuclear Energy, 68: 112-117, 2014. doi:10.1016/j.anucene.2014.01.008; [17] Leite QB, Palma AP, Vilhena MT, Bodmann EJ. Analytical representation of the solution of the point reactor kinetics equations with adaptive time step, Progress in Nuclear Energy, 70: 112-118, 2014. doi:10.1016/j.pnucene.2013.07.008; [18] Hamada YM. Trigonometric Fourier-series solutions of the point reactor kinetics equations. Nuclear Engineering and Design, 281: 142-153, 2015. doi:10.1016/j.nucengdes.2014.11.017; [19] Razak MA, Devan K, Sathiyasheela T. The modified exponential time differencing (ETD) method for solving the reactor point kinetics equations, Annals of Nuclear Energy, 76: 193-199, 2015. doi:10.1016/j.anucene.2014.09.020; [20] Nahla AA. Numerical treatment for the point reactor kinetics equations using theta method, eigenvalues and eigenvectors, Progress in Nuclear Energy, 85: 756-763, 2015. doi:10.1016/j.pnucene.2015.09.008; [21] Suescún DD, Narváez PM, Lozano PH. Calculation of Nuclear Reactivity Using the Generalised Adams Bashforth-Moulton Predictor-Corrector Method, Kerntechnik, 81(1): 86-93, 2016. doi:10.3139/124.110591; [22] Yun C, Xingjie P, Qing L, Kan W. A numerical solution to the nonlinear point kinetics equations using Magnus expansion, Annals of Nuclear Energy, 89: 84-89, 2016. doi:10.1016/j.anucene.2015.11.021; [23] Duderstadt JJ, Hamilton LJ. Nuclear Reactor Analysis, second ed. John Wiley & Sons Inc., New York, 1976; 1227483; https://hdl.handle.net/10614/13432
Availability:
https://doi.org/10.11144/Javeriana.SC24-3.ndcu
https://doi.org/10.13182/NSE85-A17429
https://doi.org/10.13182/NSE89-A23663
https://doi.org/10.1088/0305-4470/35/45/309
https://doi.org/10.1088/0305-4470/35/14/307
https://doi.org/10.1016/s0140-6701(03)82201-4
https://doi.org/10.1016/j.anucene.2003.12.008
https://doi.org/10.1016/j.anucene.2008.07.002
https://doi.org/10.1016/j.anucene.2008.11.033
https://doi.org/10.1016/j.nucengdes.2011.02.016
Authors: Aboanber, Ahmed E.Aff2, Nahla, Abdallah A.Aff1, Aff2, Edress, Adel M.Aff2
Superior Title: Nuclear Science and Techniques. 29(9)
Authors: Kim, Hag-TaeAff5, GanduulgaAff6, Hong, Dong PyoAff7, Chong, Kil ToAff6, Aff8
Contributors: Park, James J. (Jong Hyuk), editorAff1, Ng, Joseph Kee-Yin, editorAff2, Jeong, Hwa-Young, editorAff3, Waluyo, Borgy, editorAff4
Superior Title: Multimedia and Ubiquitous Engineering : MUE 2013. 240:1031-1038
Authors: Gholam Reza Ansarifar, Maesam Rafiei
Superior Title: Nuclear Engineering and Technology, Vol 47, Iss 1, Pp 94-101 (2015)
Subject Terms: Densities of delayed neutron precursors, Nuclear research reactor, Point kinetics equations, Second-order sliding-Mode control, Xenon concentration, Nuclear engineering. Atomic power, TK9001-9401
File Description: electronic resource
Authors: Singh Sudhansu S., Dinakrushna Mohapatra
Superior Title: Nuclear Technology and Radiation Protection, Vol 30, Iss 1, Pp 11-17 (2015)
Subject Terms: point kinetics equation, backward Euler finite difference, MATLAB, ODE suite, NDF, Nuclear and particle physics. Atomic energy. Radioactivity, QC770-798
File Description: electronic resource
Relation: https://doaj.org/toc/1451-3994
Authors: Ismail, Mai, Abulaban, Dana, Genco, Filippo, Alkhedher, Mohammad
Superior Title: ICTEA: International Conference on Thermal Engineering; Vol. 2017 (2017): ICTEA: 2017 ; 2562-9034
Subject Terms: Point kinetic equation, Simulink, Negative temperatire feedback
File Description: application/pdf
Authors: Ansarifar, G. R., Akhavan, H. R.
Superior Title: Nuclear Science and Techniques. April 2016 27(2):1-9
Authors: Konstantinos Prantikos
Subject Terms: Nuclear engineering (incl. fuel enrichment and waste processing and storage), Artificial intelligence not elsewhere classified, Machine learning not elsewhere classified, Physics-informed neural networks, point kinetics equations, nuclear reactor, stiff ordinary differential equations, digital twin, nuclear reactor monitoring
Availability: https://doi.org/10.25394/pgs.21648407.v1
Authors: Patra, A., Ray, S. Saha
Superior Title: Computational Mathematics and Modeling. October 2013 24(4):604-615
Contributors: Luker, Paul A., editorAff1, Schmidt, Bernd, editorAff2, Sydow, Achim, editorAff3, Tzafestas, Spyros G., editorAff4, Vichnevetsky, Robert, editorAff5
Superior Title: Systems Analysis and Simulation II : Applications Proceedings of the International Symposium held in Berlin, September 12–16, 1988. 2:290-293
Authors: Dias, Antonio F. V.Aff2, Henry, Allan F.Aff2
Contributors: Heller, Moshe R., editorAff1
Superior Title: Nuclear Simulation : Proceedings of an International Symposium and Workshop, October 1987, Schliersee, West Germany. :308-325