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Roul P, Rohil V, Espinosa-Paredes G, Obaidurrahman K. An efficient computational technique for solving a fractional-order model describing dynamics of neutron flux in a nuclear reactor. ANN NUCL ENERGY 2023. [DOI: 10.1016/j.anucene.2023.109733] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/12/2023]
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Roul P, Rohil V, Espinosa-Paredes G, Obaidurrahman K. Numerical simulation of two-dimensional fractional neutron diffusion model describing dynamical behaviour of sodium-cooled fast reactor. ANN NUCL ENERGY 2022. [DOI: 10.1016/j.anucene.2021.108709] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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3
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Novel solution to the fractional neutron point kinetic equation using conformable derivatives. ANN NUCL ENERGY 2021. [DOI: 10.1016/j.anucene.2021.108407] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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Roul P, Rohil V, Espinosa-Paredes G, Obaidurrahman K. An efficient numerical method for fractional neutron diffusion equation in the presence of different types of reactivities. ANN NUCL ENERGY 2021. [DOI: 10.1016/j.anucene.2020.108038] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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Vyawahare VA, Datkhile G, Kadam P, Espinosa-Paredes G. Closed-loop controller design, stability analysis and hardware implementation for fractional neutron point kinetics model. NUCLEAR ENGINEERING AND TECHNOLOGY 2021. [DOI: 10.1016/j.net.2020.07.026] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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Sadeghi H, Darania P. On the approximate solutions of the fractional neutron point kinetics equations. ANN NUCL ENERGY 2020. [DOI: 10.1016/j.anucene.2020.107693] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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7
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Espinosa-Martínez EG, François JL, Martin-del-Campo C, Maleki Moghaddam N. Time-space fractional neutron point kinetics: Theory and simulations. ANN NUCL ENERGY 2020. [DOI: 10.1016/j.anucene.2020.107448] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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8
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Polo-Labarrios M, Quezada-García S, Espinosa-Paredes G, Ortiz-Villafuerte J. Assessment of the fractional neutron point kinetic equation to simulate core transients with Newtonian temperature feedback. ANN NUCL ENERGY 2020. [DOI: 10.1016/j.anucene.2019.107197] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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9
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Novel numerical solution to the fractional neutron point kinetic equation in nuclear reactor dynamics. ANN NUCL ENERGY 2020. [DOI: 10.1016/j.anucene.2019.107173] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
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Rafiei M, Ansarifar G, Hadad K, Mohammadi M. Stability analysis of linear FNPK model considering reactivity feedback effects for a research nuclear reactor. PROGRESS IN NUCLEAR ENERGY 2019. [DOI: 10.1016/j.pnucene.2019.103081] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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Espinosa-Paredes G, Sánchez-Romero MI, Herrera-Hernández EC. Nonlinear analysis of a reduced-order model with relaxation effects for BWRs. PROGRESS IN NUCLEAR ENERGY 2019. [DOI: 10.1016/j.pnucene.2019.103089] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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12
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Scaled neutron point kinetics (SUNPK) equations for nuclear reactor dynamics: 2D approximation. ANN NUCL ENERGY 2018. [DOI: 10.1016/j.anucene.2018.01.020] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Vyawahare VA, Espinosa-Paredes G, Datkhile G, Kadam P. Artificial neural network approximations of linear fractional neutron models. ANN NUCL ENERGY 2018. [DOI: 10.1016/j.anucene.2017.11.005] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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Vyawahare VA, Espinosa-Paredes G. On the stability of linear fractional-space neutron point kinetics (F-SNPK) models for nuclear reactor dynamics. ANN NUCL ENERGY 2018. [DOI: 10.1016/j.anucene.2017.08.060] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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Hamada YM. Modified fractional neutron point kinetics equations for finite and infinite medium of bar reactor core. ANN NUCL ENERGY 2017. [DOI: 10.1016/j.anucene.2017.03.048] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
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