PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 70(84), pp. 6978 (2001) 

ON THE CONVERGENCE OF FINITEDIFFERENCE SCHEME FOR ONE NONLOCAL ELLIPTIC BOUNDARY VALUE PROBLEMGivi BerikelashviliA. Razmadze Mathematical Institute, Georgian Academy of Sciences, Tbilisi 380093, GeorgiaAbstract: The finitedifference 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 Full text of the article:
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