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An error analysis of the numerical method of lines.

M. Tech. Mathematical Technology / Makes use of a linear PDE with a known analytical solution and solve it using the NDSolve built in Mathematica function. NMOL will be used directly on the same problem and then Joubert, Greeff and Fays error analysis will be implemented. The results obtained from this error analysis technique will be compared with the known conventional approach which uses the analytical solution. In this way, appropriate conclusions can be drawn about the accuracy of NMOL.

Identiferoai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:tut/oai:encore.tut.ac.za:d1000890
Date January 2011
CreatorsBidie, Judith Nomantande Maureen.
ContributorsJoubert, S. V. (Stephan Victor), Kloppers, P. H.
Source SetsSouth African National ETD Portal
LanguageEnglish
Detected LanguageEnglish
TypeText
FormatPDF

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