Computer Algebra Programs in Group Analysis and Education

Document type: Conference Presentations
Peer reviewed: Yes
Author(s): Nail H. Ibragimov, Raisa Khamitova
Title: Computer Algebra Programs in Group Analysis and Education
Conference name: The 4th CeTUSS Workshop
Year: 4-5/12 2006
City: Uppsala,Sweden
Organization: Blekinge Institute of Technology
Department: School of Engineering - Dept. Mathematics and Science (Sektionen för teknik – avd. för matematik och naturvetenskap)
School of Engineering S- 371 79 Karlskrona
+46 455 38 50 00
http://www.tek.bth.se/
Authors e-mail: nib@bth.se, rkh@bth.se
Language: English
Abstract: Lie group analysis provides a universal tool for tackling considerable numbers of differential equations even when other means of integration fail.
In fact, group analysis is the only effective method for solving nonlinear differential equations analytically. However the philosophy of Lie groups in the theory of differential equations did not enjoy widespread acceptance in the past and the subject has been neglected in university programs.
One of the main aims of ALGA is to improve the situation by developing courses based on group analysis. But the problem is that calculation of symmetries is a lengthy process and this can scare students. The calculation
can be simplified by using computer algebra packages. We started to use one of them for teaching engineering students at BTH.
This project was supported by STINT, Swedish Foundation for International Cooperation in Research and Higher Education.
Subject: Mathematics\Analysis
Computer Science\General
Keywords: Symmetries, Lie group analysis
Note: http://www.it.uu.se/research/group/cetuss/Events/2006-11/WS4-material
Edit