Application of the TN method to critical slab problem for one-speed neutrons with forward and backward scattering

The critical slab problem which includes isotropic forward and backward scattering has been studied in one-speed neutron transport equation using first kind of Chebyshev polynomials. The critical half-thicknesses are computed for different degrees of c and forward and backward scattering with Mark and Marshak boundary conditions in the uniform finite slab. It is shown that TN method gives accurate results in one-dimensional geometry and the results are agreement PN approximation.

Research highlights
► We examine neutron transport equation including forward and backward scattering.
► Critical half-thicknesses for different values of c are calculated using TN method.
► Obtained results are compared with PN results and some literature values.
► TN method is convenient for neutron transport equation.