OPTIMIZATION PROBLEMS OF ALGORITHMS CONNECTED WITH DIFFERENT CALCULATION SCHEMES OF DIFFERENCE EQUATIONS

摘要

The problems related to practical realization (as a computer program) of difference schemes for solving the diffusion equations that describe pollutants transport in river water are considered in this paper. In particular, the problem of optimum choosing of the algorithm parameters on which depend the accuracy, the time and the possibility of practical realization of the equation solution are considered. The demand to reduce as much as possible the time and the errors of calculations, and also the simplicity of the functions of certain classes used in mathematical models and the degree of correspondence to real physical conditions are considered as criteria of optimality.