About a nonlocal BVP for Poisson's equation

Sandra Hodzic

Mathematical Conferences Niš, Serbia, 13th Serbian Mathematical Congress

Sandra Hodzic

Last modified: 2014-01-22

Abstract

In this paper we consider a nonlocal boundary-value problem for Poisson's equation on the unit square. A priori estimate for its weak solution in appropriate Sobolev space is proved. A finite difference scheme approximating this problem is proposed. An error estimate in a discrete $W_{2}^{1}$ Sobolev norm is obtained.

Keywords

BVP, difference scheme