ON THE USE OF THE GODUNOV METHOD IN SPHERICAL HARMONICS DIFFERENTIAL EQUATION SOLUTION FOR THE ONE-DIMENSIONAL STATIONARY KINETIC EQUATION IN MULTIGROUP APPROXIMATION

I. A. Adamskaya
VANT. Ser.: Mat. Mod. Fiz. Rroc 1989. Вып.3. С. 49-55.

      Applicability of the special solution orthogonal sweeping method (the Godunov method) is justified for the solution of spherical harmonics differential equations for the one-dimensional stationary kinetic equation in multigroup approximation. Boundary conditions of the probiem are proved to allow to derive a full set of linear independent vectors needed to implement the method considered also in the case of multigroup approximation of the kinetic equation.