Numerical approximation of a fractional neutron diffusion equation for neutron flux profile in a nuclear reactor

P Roul, V Rohil, G Espinosa-Paredes… - Progress in Nuclear …, 2024 - Elsevier
This paper focuses on development of an efficient numerical technique for approximation of
a fractional neutron diffusion equation with delayed neutrons for neutron flux profile in a …

An efficient computational technique for solving a fractional-order model describing dynamics of neutron flux in a nuclear reactor

P Roul, V Rohil, G Espinosa-Paredes… - Annals of Nuclear …, 2023 - Elsevier
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 compartmental fractional neutron point kinetic equations with different fractional orders

G Espinosa-Paredes, CA Cruz-López - Nuclear Engineering and Design, 2024 - Elsevier
Fractional models of the Neutron Point Kinetic Equations have been developed to overcome
certain limitations related to the classical approaches, considering more general physical …

Numerical approximation of a two-dimensional fractional neutron diffusion model describing dynamics of neutron flux in a nuclear reactor

P Roul, V Rohil, G Espinosa-Paredes… - Progress in Nuclear …, 2024 - Elsevier
The goal of this work is to develop a high-order numerical technique to solve a two-
dimensional fractional neutron diffusion (FND) model describing dynamical behavior of a …

Numerical simulation of two-dimensional fractional neutron diffusion model describing dynamical behaviour of sodium-cooled fast reactor

P Roul, V Rohil, G Espinosa-Paredes… - Annals of Nuclear …, 2022 - Elsevier
This article proposes an efficient numerical technique for solving the two-dimensional
fractional neutron diffusion (FND) model with time-dependent reactivity which describes …

[图书][B] Fractional-order Modeling of nuclear reactor: from subdiffusive neutron transport to control-oriented models: a systematic approach

V Vyawahare, PSV Nataraj - 2018 - books.google.com
This book addresses the topic of fractional-order modeling of nuclear reactors. Approaching
neutron transport in the reactor core as anomalous diffusion, specifically subdiffusion, it …

[HTML][HTML] Solution of a new model of fractional telegraph point reactor kinetics using differential transformation method

YM Hamada - Applied Mathematical Modelling, 2020 - Elsevier
A new model of fractional telegraph point reactor kinetics FTPRK is introduced to
approximate the time dependent Boltzmann transport equation considering new terms that …

A fractional PID controller based on fractional point kinetic model and particle swarm optimization for power regulation of SMART reactor

O Safarzadeh, O Noori-kalkhoran - Nuclear Engineering and Design, 2021 - Elsevier
The small modular reactor tends to drive down the price of electricity and heat, installed far
from the national power grid. In order to provide the active power balance in small networks …

Modified fractional neutron point kinetics equations for finite and infinite medium of bar reactor core

YM Hamada - Annals of Nuclear Energy, 2017 - Elsevier
Fractional order neutron point kinetics equations are generalization of the classical neutron
point kinetics equations. The system of the fractional neutron point kinetics equations is …

Subdiffusive processes in BWRs

G Espinosa-Paredes, VA Vyawahare… - … Engineering and Design, 2024 - Elsevier
The objective of this work is the analysis of subdiffusive processes in BWR reactors. Nuclear
reactors are highly heterogeneous systems where the phenomena at the reactor scale are …