A NEARLY MONOTONIC IMPLICIT DIFFERENCE SCHEME OF HIGHER ACCURACY ORDER RUNNING COMPUTATION FOR SOLVING LINEAR TRANSPORT EQUATION

O.V. Diyankov
VANT. Ser.: Mat. Mod. Fiz. Proc 2000. Вып.3. С. 36-44.

A new approach to the construction of high accuracy order implicit difference schemes is considered. The PDE operators approximation starts from Pade approximation of an exponent. The paper presents a set of difference schemes with oder of approximation in time and spatial variables from one to three. Numerical solutions monotonizing is treated. The results of test calculations compared with exact solutions are given.