A novel interpretation of the hyperbolization method used to solve the parabolic neutron diffusion equations by means of the wave digital concept

In this paper, the neutron diffusion equations in two energy groups will be dealt with. The underlying parabolic differential equations as well as a hyperbolized version of them will be numerically solved with the wave digital concept. While the hyperbolization process avoids delay-free directed loops in the wave flow diagram, a direct implementation of the parabolic differential equations does not. However, an iteration method can be used to overcome these problems. This results under certain conditions in the same wave digital model. This way, it can be shown that the commonly used hyperbolization can be interpreted as the application of an iteration method. Copyright © 2006 John Wiley & Sons, Ltd.