Completed Richardson extrapolation in space and time
โ Scribed by RICHARDS, SHANE A.
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 127 KB
- Volume
- 13
- Category
- Article
- ISSN
- 1069-8299
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โฆ Synopsis
The technique of Richardson extrapolation, which has previously been used on time-independent problems, is extended so that it can also be used on time-dependent problems. The technique presented is completed in the sense that the extrapolated solution is calculated at all spatial grid nodes which coincide with nodes of the ยฎnest grid considered. Numerical examples are presented when the technique is applied to the LaxยฑWendro and CrankยฑNicholson ยฎnite dierence schemes which are used to approximate solutions to the convectionยฑdiusion equation. The examples show that extrapolation can be an easy and ecient way in which to produce accurate numerical solutions to time-dependent problems.
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