T N method for the critical thickness of one-speed neutrons in a slab with forward and backward scattering

The critical slab problem in the case of combination of forward and backward scattering with usual isotropic scattering is studied for one-speed neutrons in a uniform finite slab by using T N method based on Chebyshev polynomial approximation and Marshak boundary conditions. It is shown that T N method gives accurate results in one-dimensional geometry and is very efficient both in derivation of equations and rapid convergence. Numerical results obtained by T N method are compared against the P N method in tabular form, which agreed quite well