EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 70(84), pp. 69--78 (2001)

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ON THE CONVERGENCE OF FINITE-DIFFERENCE SCHEME FOR ONE NONLOCAL ELLIPTIC BOUNDARY VALUE PROBLEM

Givi Berikelashvili

A. Razmadze Mathematical Institute, Georgian Academy of Sciences, Tbilisi 380093, Georgia

Abstract: The finite-difference scheme approximating nonlocal boundary value problem for a second order elliptic equation is studied. A convergence rate estimate in discrete $W_2^1$-norm is obtained, assuming that the coefficients and the solution to the original problem belongs to Sobolev spaces.

Keywords: difference schemes; nonlocal boundary value problem; elliptic equation; weighted spaces; convergence rate

Classification (MSC2000): 65N06

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Electronic fulltext finalized on: 17 Oct 2002. This page was last modified: 13 Nov 2002.

© 2002 Mathematical Institute of the Serbian Academy of Science and Arts
© 2002 ELibM and FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition