The behaviour of the neutrons inside a nuclear reactor core can be modelled by using the
time dependent neutron diffusion equation. Different time schemes have been used to …

The point kinetics equations for reactor dynamic systems are normally described and treated
for one-energy group, which modeled as stiff coupled differential equations, and their …

Lambda modes of a nuclear power reactor have interest in reactor physics since they have
been used to develop modal methods and to study BWR reactor instabilities. An h–p …

Over the past decade, stabilization problems have been solved for various cascade and
“sandwich” configurations involving linear ODEs and PDEs of both hyperbolic and parabolic …

To simulate the behaviour of a nuclear power reactor it is necessary to be able to integrate
the time-dependent neutron diffusion equation inside the reactor core. Here the spatial …

The space-time neutron diffusion equations with multi-group of delayed neutrons are a
couple of the stiff nonlinear partial differential equations. The finite difference method is used …

The solution of the time-dependent neutron diffusion equation can be approximated using
quasi-static methods that factorise the neutronic flux as the product of a time dependent …

Different spatial modes can be defined for the neutron diffusion equation such as the λ, α
and γ-modes. These modes have been successfully used for the analysis of nuclear reactor …

The dominant λ-modes associated with a nuclear reactor configuration describe the neutron
steady-state distribution and its criticality. Furthermore, they are useful to develop modal …

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 …