Open AccessNonlocal boundary value problem with Poissons operator on a rectangle and its difference interpretation
Author(s) -
Dovlet M. Dovletov
Publication year - 2020
Publication title -
ķaraġandy universitetìnìn̦ habaršysy. matematika seriâsy
Language(s) - English
Resource type - Journals
eISSN - 2663-5011
pISSN - 2518-7929
DOI - 10.31489/2020m3/38-54
Subject(s) - mathematics , rectangle , boundary value problem , uniqueness , mathematical analysis , operator (biology) , a priori and a posteriori , differential equation , domain (mathematical analysis) , differential operator , value (mathematics) , interpretation (philosophy) , geometry , computer science , statistics , biochemistry , chemistry , philosophy , epistemology , repressor , transcription factor , gene , programming language
In the present paper, differential and difference variants of nonlocal boundary value problem (NLBVP) for Poisson’s equation in open rectangular domain are studied. The existence, uniqueness and a priori estimate of classical solution are established. The second order of accuracy difference scheme is presented. The applications with weighted integral condition are provided in differential and difference variants.