A WAY TO INCREASE SOLUTION ACCURACY FOR DIFFERENCE SCHEMES CONSTRUCTED WITH THE GODUNOV METHOD

N. Ya. Moiseev
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1988. Вып.1. С. 38-45.

      A modified Godunov scheme is derived which has a third-order approximation for linear and acoustic equations with fixed coefficients and one, two, and three spatial variables. The scheme approximation is studied for spatial grids with fixed timesteps along the coordinate lines. The paper provides further improving the Godunov scheme modification method which has been adressed by the author. Results for test problems with exact solutions are reported.