Computing Technology of a Method of Control Volume for Obtaining of the Approximate Analytical Solution to One-Dimensional Convection-Diffusion Problems

Abstract

The solution of problem convection-diffusion equation by way of control volume method is considered. Approximate solution of problem is received. Three point scheme of high resolution is constructed.

Increasing the Accuracy of the Difference Scheme Using the Richardson Extrapolation Based on the Movable Node Method

“…In [15,16] two aspects of the application of the method of movable nodes are given. On the one hand, this method can be used to obtain an approximate analytical solution, and on the other, to obtain improved schemes.…”

“…MNM arose in connection with the solution of differential equations by numerical methods [15,16]. When approximating derivatives (ordinary or partial) in a differential equation by difference relations, or by the finite volume method, we obtain a discrete equation.…”