Design and stability analysis of an implicit non-standard finite difference scheme for fractional neutron point kinetic equation

DOI10.1016/J.APNUM.2019.05.029zbMath1428.82076OpenAlexW2948872765WikidataQ127744582 ScholiaQ127744582MaRDI QIDQ2273046

Pradip Roul, V. M. K. Prasad Goura, Harshita Madduri, K. Obaidurrahman

Publication date: 18 September 2019

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2019.05.029

zbMATH Keywords

stability analysisnon-standard finite difference methodextended version of FNPKfractional neutron point kinetic equationshifted Grünwald-Letnikov fractional derivativesix-group of delayed neutron

Mathematics Subject Classification ID

Nuclear reactor theory; neutron transport (82D75) Finite difference and finite volume methods for ordinary differential equations (65L12) Fractional ordinary differential equations (34A08) Finite difference methods applied to problems in statistical mechanics (82M20)

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• Solution of the point kinetics equations in the presence of Newtonian temperature feedback by Pad  approximations via the analytical inversion method
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