A comparative study of some computer algebra packages which determine the lie point symmetries of differential equations

Butcher, J., Carminati, John and Vu, K. 2003, A comparative study of some computer algebra packages which determine the lie point symmetries of differential equations, Computer physics communications, vol. 155, no. 2, pp. 92-114.

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Title A comparative study of some computer algebra packages which determine the lie point symmetries of differential equations
Author(s) Butcher, J.
Carminati, John
Vu, K.
Journal name Computer physics communications
Volume number 155
Issue number 2
Start page 92
End page 114
Publisher Elsevier B.V.
Place of publication Amsterdam, The Netherlands
Publication date 2003-10
ISSN 0010-4655
1879-2944
Keyword(s) lie symmetrics
symbolic computing
differential equations
reduce
maple
mathematica
Summary The study seeks to determine which of five computer algebra packages is best at finding the Lie point symmetries of systems of partial differential equations with minimal user intervention. The chosen packages are LIEPDE and DIMSYM for REDUCE, LIE and BIGLIE for MUMATH, DESOLV for MAPLE, and MATHLIE for MATHEMATICA. A series of systems of partial differential equations are used in the study. The paper concludes that while all of the computer packages are useful, DESOLV appears to be the most successful system at determining the complete set of Lie point symmetries of systems of partial differential equations.
Language eng
Field of Research 010106 Lie Groups, Harmonic and Fourier Analysis
HERDC Research category C1 Refereed article in a scholarly journal
Copyright notice ©2003, Elsevier B.V.
Persistent URL http://hdl.handle.net/10536/DRO/DU:30002039

Document type: Journal Article
Collection: School of Information Technology
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