Optimum extrapolated ADI iterative difference schemes for the solution of Laplace's equation in three space variables
Open Access
- 1 January 1971
- journal article
- research article
- Published by Oxford University Press (OUP) in The Computer Journal
- Vol. 14 (2) , 179-183
- https://doi.org/10.1093/comjnl/14.2.179
Abstract
This paper describes the application of the extrapolated ADI methods for the numerical solution of Laplace's equation over the open unit cube under ‘model problem’ boundary conditions. Three different approximating difference formulae are considered and each one of the resulting extrapolated ADI schemes is treated by using the set of Douglas parameters in two different ways. In addition a comparison of the two methods is made and optimum extrapolated ADI schemes are given.Keywords
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