Solution of the matter transport problem at high Peclet numbers

The aim of this work is the development of a difference scheme for solving the convection-diffusion problem at high Peclet numbers (${\rm Pe}>2$). In accordance with this aim, a new difference scheme for convection is proposed and compared with several existing schemes and some stability conditions are formulated for the proposed scheme. The convection-diffusion equations are solved on the basis of this new difference scheme at various Peclet numbers.