New solvability condition of 2-d nonlocal boundary value problem for Poisson's operator on rectangle
Authors: Dovlet M. Dovletov
Journal: e-Journal of Analysis and Applied Mathematics (e-JAAM), e-ISSN 2544-9990
Volume: 2021 · Pages: 12 - 28
Published Online: 22 Nov 2021
Abstract: Differential and difference interpretations of a nonlocal boundary value problem for Poisson's equation in open rectangular domain are studied. New solvability conditions are obtained in respect of existence, uniqueness and a priori estimate of the classical solution. Second order of accuracy difference scheme is presented.
Keywords: Poisson's operator, nonlocal boundary value problem, nonlocal boundary value condition, rectangular domain, difference scheme