[en] A computer program that solves two-dimensional transport problems using the LN (linear nodal), LL (linear linear), or the BL (bi-linear) method was written and was used to solve two simple test problems. The results are used here to confirm our algebraic manipulations of the nodal equations and also to compare the performance of the three methods from the computational, as well as the theoretical, point of view. The three methods are found to have comparable accuracies, especially on meshes that are sufficiently fine. It is apparent that a given method will be more appropriate to use for solving certain problems than the other two methods, depending on the specifications of the problem