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On the rate of convergence of finite difference schemes on nonuniform grids

Published online by Cambridge University Press:  17 February 2009

Frank De Hoog  and
David Jackett
David Jackett
Affiliation:
Division of Mathematics and Statistics, CSIRO, P. O. Box 1965, Canberra City, A.C.T. 26001.
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Abstract

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Finite difference schemes for some two point boundary value problems are analysed. It is found that for schemes defined on nonuniform grids, the order of the local truncation error does not fully reflect the rate of convergence of the numerical approximation obtained. Numerical results are presented that indicate that this is also the case for higher dimensional problems.

Type
Research Article
Information
The ANZIAM Journal , Volume 26 , Issue 3 , January 1985 , pp. 247 - 256
Copyright
Copyright © Australian Mathematical Society 1985

References

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