Predicted accuracy and computationally efficiency of Discrete Ordinates Method (DOM) and Improved Differential Approximation (IDA) were evaluated by applying both methods to cubical enclosure problems containing purely isotropically/linearly anisotropically scattering/absorbing-emitting-isotropically scattering medium and comparing their predictions with benchmark solutions available in the literature. Performances of DOM and IDA with S-8, S-10 and T-4 quadratures were assessed by comparing their predictions against benchmark solutions. DOM with S-8 and IDA with T-4 were found to provide more accurate and efficient solutions compared to other discretization schemes. However, overall comparisons reveal that DOM S-8 produces higher accuracy and computational efficiency than IDA T-4 on all test problems under consideration. (C) 2012 Elsevier Masson SAS. All rights reserved.