Discrete Eigenvalues of the Radiative Transfer Equation with Legendre and Chebyshev Polynomials Solutions

The radiation transfer equation has been considered for finite slab with isotropic scattering in homogeneous medium. The Legendre and Chebyshev polynomials are used to solve the radiative transfer equation to determine the discrete eigenvalues of the system for various single scattering albedo. The numerical results are performed for high level iterations of the PN and TN methods. The numerical values are tabulated and compared with the previous works. It is shown that our results are in very good agreement with previous studies.