Spectral green's function method for neutron transport with backward and forward scattering in 1-D slab and spherical geometry

In this work, a combination of forward and backward scattering is studied for the numerical solution of one-dimensional neutron transport problems in a finite homogeneous slab and sphere. The scattering of the neutrons is assumed to be anisotropic for the slab and isotropic for the spherical geometry. Numerical solutions are carried out by using both the spectral Green's function (SGF) and the diamond-difference (DD) methods to check the accuracy of the results. Calculated numerical results of cell-edge scalar fluxes are presented in the tables