ERROR ESTIMATION FOR THE DIFFUSION EQUATION SOLUTION BASED ON THE SCHEMES WITH WEIGHTS
In applied problems it is often necessary to solve diffusion equation. The most efficient methods for solving such types of problems are grid methods that, nevertheless, have an approximation error. In the given paper a linear diffusion equation with variable coefficients is considered, for which an estimation of approximation error is obtained. The resulting estimate of the error approximation is used to select the time step in the modeling of diffusion processes. In modeling applied problems often it is necessary to solve diffusion-convection equation and to take into account acquired estimate of the approximation error in the time variable in addition.