Solution of the one-dimensional time-dependent discrete ordinates problem in a slab by the spectral and LTSN methods

In this work, we present a new approach to solve the one-dimensional time-dependent discrete ordinates problem (SN problem) in a slab. The main idea is based upon the application of the spectral method to the set of SN time-dependent differential equations and solution of the resulting coupling equations by the LTSN method. We report numerical simulations.