ON A THREE-POINT DIFFERENCE SCHEME WITH WEIGHING MULTIPLIER FOR TRANSPORT EQUATIONS

E. V. Groshev, A. M. Pastushenko, V. F. Yudintsev
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1985. Вып.2. С. 87-96.

      An arrangement of a finite-difference scheme for transport equations is described which exhibits enhanced monotonicity of associated approximate solutions. Properties of the scheme were examined on a simple model equation and checked numerical calculations of a number of spherically-symmetric problems displayning satisfactory practical accuracy and monotonicity of the scheme suggested.