Physics-informed neural networks for the point kinetics equations for nuclear reactor dynamics
The paper presents a novel approach based on Physics-Informed Neural Networks (PINNs)
for the solution of Point Kinetics Equations (PKEs) with temperature feedback. The approach …
for the solution of Point Kinetics Equations (PKEs) with temperature feedback. The approach …
An implicit finite difference method for solving the corrected fractional neutron point kinetics equations
It is well known that Espinosa-parades et al.(Espinosa-Paredes et al., 2011) proposed a
fractional neutron point kinetic (FNPK) model with multi-group of delayed neutrons to …
fractional neutron point kinetic (FNPK) model with multi-group of delayed neutrons to …
A new solution of the fractional neutron point kinetics equations using symmetry and the Heaviside's expansion formula
A new analytical solution of the Fractional Neutron Point Kinetics Equations is developed in
the present work, considering multi-groups of precursors of delayed neutrons as well as a …
the present work, considering multi-groups of precursors of delayed neutrons as well as a …
[LIBRO][B] Computational nuclear engineering and radiological science using python
R McClarren - 2017 - books.google.com
Computational Nuclear Engineering and Radiological Science Using Python provides the
necessary knowledge users need to embed more modern computing techniques into current …
necessary knowledge users need to embed more modern computing techniques into current …
Coupling a CFD code with neutron kinetics and pin thermal models for nuclear reactor safety analyses
Z Chen, XN Chen, A Rineiski, P Zhao, H Chen - Annals of Nuclear Energy, 2015 - Elsevier
Most system codes are based on the one-dimensional lumped-parameter method, which is
unsuitable to simulate multi-dimensional thermal-hydraulics problems. CFD method is a …
unsuitable to simulate multi-dimensional thermal-hydraulics problems. CFD method is a …
Design and stability analysis of an implicit non-standard finite difference scheme for fractional neutron point kinetic equation
This paper is concerned with the construction of a new numerical technique to obtain
approximate solution for an extended fractional neutron point kinetic (EFNPK) model with six …
approximate solution for an extended fractional neutron point kinetic (EFNPK) model with six …
Trigonometric Fourier-series solutions of the point reactor kinetics equations
YM Hamada - Nuclear Engineering and Design, 2015 - Elsevier
In this paper, a new method based on the Fourier series is introduced to obtain approximate
solutions to the systems of the point kinetics equations. These systems are stiff involving …
solutions to the systems of the point kinetics equations. These systems are stiff involving …
Numerical simulation based on Haar wavelet operational method to solve neutron point kinetics equation involving sinusoidal and pulse reactivity
In this article, the wavelet operational method based on Haar wavelet is introduced to obtain
the numerical approximate solution of neutron point kinetic equation appeared in nuclear …
the numerical approximate solution of neutron point kinetic equation appeared in nuclear …
Hermite methods for multi-energy group neutron kinetics model via quasi-static approach and piecewise functions
The prominence of nuclear energy has grown due to its benefits over conventional power.
As a result, using an inventive mathematical model is critical to ensuring nuclear reactor …
As a result, using an inventive mathematical model is critical to ensuring nuclear reactor …
[HTML][HTML] Application of Backward Differential Formula and Anderson's method for multigroup diffusion transient equation
This paper focuses on the application of the Backward Differential Formula (BDF) and
Anderson's method for neutron diffusion transient simulations. The B-spline finite element …
Anderson's method for neutron diffusion transient simulations. The B-spline finite element …