The difference solving of the two-dimensional steady transport equation in Vladimirov's variables

The method for numerical solving of steady 2D transport equation on the basis of transition to the Vladimirov's variables have been suggested. The variable z had been considered as a new 'time' variable that simplified calculations along characteristics, and in 3D case leads to differed from standard procedure of splitting on physical directions. It has been shown that the suggested method have second order on space variables.