This article is cited in 2 papers

COMPUTER SCIENCE. MATHEMATICS

Locally one-dimensional scheme for parabolic equation of general type with nonlocal source

Z. V. Beshtokova

Institute of Applied Mathematics and Automation – branch of the FSBSE "Federal Scientific Center "Kabardin-Balkar Scientific Center of the Russian Academy of Sciences", 360000, KBR, Nalchik, Shortanov street, 89 A

Abstract: In this work we consider locally one-dimensional scheme for the equation of parabolic type of the gen-eral form in p-dimensional parallelepiped. The a priori estimate for the solution of the locally one-dimensional scheme is obtained.

Keywords: boundary value problem, locally one-dimensional scheme, stability, convergence of a scheme, an a priori estimate, an approximation error.

UDC: 519.63

Received: 24.07.2017