This article is cited in 2 papers

MATHEMATICS

Numerical solution of a boundary value problem for a loaded parabolic equation with nonlocal boundary conditions

V. M. Abdullayev<sup>ab

a</sup> Azerbaijan State University of Oil and Industry, Baku
^b Institute of Control Systems, National Academy of Sciences of Azerbaijan, Baku

Abstract: In the work, we propose a numerical method of solution to the boundary-value problem with respect to the loaded parabolic equation with nonlocal boundary conditions. We have obtained formulas and derived an algorithm for the solution of the problem. We provide the results of numerical solution to two test problems, which illustrates the efficiency of the approach proposed.

Keywords: loaded differential equations, nonlocal conditions, method of lines, transfer of boundary conditions.

UDC: 519.622.2

MSC: 65M20

DOI: 10.26117/2079-6641-2020-32-3-15-28