This article is cited in 1 paper

Some methods of solving the first boundary value problem for the biharmonic difference equation

M. M. Karchevskii

Kazan'

Abstract: An iterative method is given for solving the Dirichlet problem for the biharwonic difference equation in a rectangular domain requiring $O(h^{-2}\ln\varepsilon^{-1})$ arithmetic operations. In the case of a circular domain, a direct method is discribed, requiring $O(h^{-2}\ln h^{-1})$ operations.

UDC: 519.632

MSC: Primary 65N22; Secondary 65F10, 31A30, 35J40

Received: 02.10.1981
Revised: 21.06.1982

 English version: USSR Computational Mathematics and Mathematical Physics, 1983, 23:5, 41–47

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