This article is cited in 3 papers

Scientific communications

The convergence in $W_2^2$ of a difference solution of the Dirichlet problem

G. K. Berikelashvili

Tbilisi

Abstract: An estimate of the rate of convergence of the difference scheme considered in a net metric $W_2^2$, matched with the smoothness of the required solution, is established when the solution of the initial problem belongs to Sobolev spaces.

UDC: 519.63.4

MSC: Primary 65N12; Secondary 65N15, 35J25

Received: 08.08.1988
Revised: 30.08.1989

 English version: USSR Computational Mathematics and Mathematical Physics, 1990, 30:2, 89–92

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