Academic Journal

A novel fractional technique for the modified point kinetics equations

التفاصيل البيبلوغرافية
العنوان: A novel fractional technique for the modified point kinetics equations
المؤلفون: Ahmed E. Aboanber, Abdallah A. Nahla
المصدر: Journal of the Egyptian Mathematical Society, Vol 24, Iss 4, Pp 666-671 (2016)
بيانات النشر: SpringerOpen, 2016.
سنة النشر: 2016
المجموعة: LCC:Mathematics
مصطلحات موضوعية: Point kinetics equations, Multi-group of delayed neutrons, Relaxation time effects, Riemann–Liouville definition, Fractional calculus, Mathematics, QA1-939
الوصف: A fractional model for the modified point kinetics equations is derived and analyzed. An analytical method is used to solve the fractional model for the modified point kinetics equations. This methodical technique is based on the representation of the neutron density as a power series of the relaxation time as a small parameter. The validity of the fractional model is tested for different cases of step, ramp and sinusoidal reactivity. The results show that the fractional model for the modified point kinetics equations is the best representation of neutron density for subcritical and supercritical reactors.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 1110-256X
Relation: http://www.sciencedirect.com/science/article/pii/S1110256X16300037; https://doaj.org/toc/1110-256X
DOI: 10.1016/j.joems.2016.02.001
URL الوصول: https://doaj.org/article/5350335e6ce547cb898747ecfa7a8a13
رقم الانضمام: edsdoj.5350335e6ce547cb898747ecfa7a8a13
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:1110256X
DOI:10.1016/j.joems.2016.02.001