Solution of the radiative heat transfer equation with internal energy sources in a slab by the Green's Functions Decomposition Method for anisotropic scattering

► We solve numerically the anisotropic transport equation using techniques of integral operators. ► We present numerical results for one dimensional transport equation near criticality. ► We present numerical results for isotropic, linearly anisotropic, and Rayleigh scattering near the unitary albedo. ► We apply the Green Function Decomposition Method to solve numerically the radiative transport equation in a slab.