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

journal contribution
posted on 2003-10-01, 00:00 authored by J Butcher, John Carminati, K Vu
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.

History

Journal

Computer physics communications

Volume

155

Issue

2

Pagination

92 - 114

Publisher

Elsevier B.V.

Location

Amsterdam, The Netherlands

ISSN

0010-4655

eISSN

1879-2944

Language

eng

Publication classification

C1 Refereed article in a scholarly journal

Copyright notice

2003, Elsevier B.V.