About one algorithm for the numerical solution of the system of the two parabolic equations of the special type

Abstract

The work provides an algorithm for the numerical solution of a system of the two parabolic equations of the special type, and proved their sustainability. There are generated an assessment of the numerical solutions. There are defined the conditions for guaranteeing the applicability of the double-sweep method, and the estimation of the sampling step in time in which the iterative process has an internal convergence. There are made an example of how to use the algorithm in soil science. Refs 10. Figs 2.