LD-SCHEME FOR A TRANSPORT EQUATION IN A SPHERE GEOMETRY

E. V. Diyankova, O. S. Shirokovskaya
VANT. Ser.: Mat. Mod. Fiz. Rroc. 1989. Вып.1. С. 40-43.

      An LD-scheme is developed for a transport equation in a sphere geometry, which is then studied numerically and compared to that of the DS_n-method. The following advantages of the LD-scheme are revealed: a possibility to reduce the number of cells in a phase space by a factor of 2 or more for each variable while retaining a good solution accuracy and to consider the scheme to be actually monotonous, since the solution oscillation amplitude is very small even on coarse grids of a phase space.