ON AN APPROXIMATION OF THE RADIATION TRANSFER EQUATION

Yu. A. Dementyev, Yu. I. Ruzu, I. D. Sofronov, E. N. Tikhomirova
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1984. Вып.2. С. 3-5.

      A set of single-point algebraic equations is reported, fitting equlibrium nonstationary radiation transfer taking into account grey-matter absorption and isotropic scattering. A cubic octahedron mesh is used. The scheme is conservative, stable, and, mainly, second-order accurate. The approximate solution is characterized by non-increasing amplitude. An array-processor computer may be effectively used. A disadvantage of the scheme cons its in severe time-step 1imi tat ions.