New solvability condition of 2-d nonlocal boundary value problem for Poisson’s operator on rectangle
New solvability condition of 2-d nonlocal boundary value problem for Poisson’s operator on rectangle
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.