Symbolic Implementation of Preliminary Group Classiffication for Ordinary Differential Equations
We apply the method of preliminary group classification to ordinary differential equations of the form y(n)=E(x,y,y',…,y(n-1),fi(x)), i=0,…,m. We show how this method can be implemented via the popular symmetry analysis package PROGRAM LIE provided that the package is supplemented with a small...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/976271 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | We apply the method of preliminary group classification to ordinary differential equations of the form y(n)=E(x,y,y',…,y(n-1),fi(x)), i=0,…,m. We show how this method can be implemented via the popular symmetry analysis package PROGRAM LIE provided that the package is supplemented with a small file. We then apply this method to an extension of the generalised Emden-Fowler equation given by y′′ = ∑i=25fixyi. |
|---|---|
| ISSN: | 1110-757X 1687-0042 |