An analytical solution for an external source problem with delayed neutron using the Telegrapher's equation

This work presents the development of an analytical solution for a space-time dependent neutron transport problem in a one dimensional system consisting of homogenized medium with a central, time dependent external source by Green's functions. The delayed neutron production is implemented with the multiple scale expansion method. Qualitative results are analyzed for a deeper understanding of the effects of space-time dependent neutron transport. An example for the use of the developed solution for the study of the effect of different levels of subcriticality in accelerator driven systems is given.