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The Computer Journal 1971 14(2):179-183; doi:10.1093/comjnl/14.2.179
© 1971 by British Computer Society
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Optimum extrapolated ADI iterative difference schemes for the solution of Laplace's equation in three space variables

A. Hadjidimos *

The New University of Ulster, Coleraine, County Londonderry, UK

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.

Received March 1970.

* The New University of Ulster, Coleraine, County Londonderry, Northern Ireland


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