التفاصيل البيبلوغرافية
| العنوان: |
Lie symmetries of partial differential equations using symbolic computing. |
| المؤلفون: |
Butcher, John Dudley, mikewood@deakin.edu.au |
| بيانات النشر: |
Deakin University. School of Information Technology, 2004. |
| سنة النشر: |
2004 |
| المجموعة: |
Australiasian Digital Theses Program |
| مصطلحات موضوعية: |
lie groups, symmetry, physics, liepde, dimsym for reduce, lie, biglie for mumath, desolv for maple, mathlie for mathematica, reducevar |
| الوصف: |
This study presents a theoretical basis for and outlines the method of finding the Lie point symmetries of systems of partial differential equations. It seeks to determine which of five computer algebra packages is best at finding these symmetries. The chosen packages are LIEPDE and DIMSYM for REDUCE, LIE and BIGLIE for MUMATH, DESOLV for MAPLE, and MATHLIE for MATHEMATICA. This work 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 symmetries. Also, the study describes REDUCEVAR, a new package for MAPLE, that reduces the number of independent variables in systems of partial differential equations, using particular Lie point symmetries. It outlines the results of some testing carried out on this package. It concludes that REDUCEVAR is a very useful tool in performing the reduction of independent variables according to Lie's theory and is highly accurate in identifying cases where the symmetries are not suitable for finding S/G equations. |
| Original Identifier: |
217098 |
| اللغة: |
English |
| الإتاحة: |
http://tux.lib.deakin.edu.au./adt-VDU/public/adt-VDU20051110.123208Test |
| حقوق: |
Copyright John Dudley Butcher
URL: http://www.deakin.edu.au/disclaimer.htmlTest |
| رقم الانضمام: |
edsndl.ADTP.217098 |
| قاعدة البيانات: |
Networked Digital Library of Theses & Dissertations |
