This paper focuses on the development of a computational technique for numerical solution
of the time-fractional neutron diffusion (FND) equation, which describes dynamics of neutron …

A new model of fractional telegraph point reactor kinetics FTPRK is introduced to
approximate the time dependent Boltzmann transport equation considering new terms that …

The multi-energy group kinetics system configuration is the most widely used in the modern-
day reactor for the analysis, operation, control, and design. The present work aims to …

The aim of this work is to explore the effect of the double subdiffusion on the stability in
BWRs. A BWR novel reduced order model with double subdiffusion effects: reduced order …

The steady-state simplified spherical harmonics equations (SP< mspacewidth=”− 0.3em”> N
equations) are a higher order approximation to the neutron transport equations than the …

We solve the new model of the Point Reactor Kinetics (PRK) equations developed based on
the Telegraph approximation of the neutron transport equation analytically for a linear …

Neutron transport has been still under very active development in research institutions and
academia throughout the world. The spatial, temporal, energy and directional angle …

The influence of the neutron distribution governs the rate of the various reactions that occur
within the nuclear reactor core, in addition to the stability of the reaction process in the …

斐克定律作为扩散理论的基础, 其本质是在中子输运方程的P1 近似方程(电报方程)
的基础上进一步忽略了中子流密度关于时间的导数项, 因此在瞬态过程中无法准确描述实际的中 …