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...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/976271 |
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| author | K. S. Govinder |
| author_facet | K. S. Govinder |
| author_sort | K. S. Govinder |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-52e2ad84baab4ec39c4ce8af4b45bb15 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-52e2ad84baab4ec39c4ce8af4b45bb152025-02-03T01:28:48ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/976271976271Symbolic Implementation of Preliminary Group Classiffication for Ordinary Differential EquationsK. S. Govinder0Astrophysics and Cosmology Research Unit, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, Durban 4001, South AfricaWe 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.http://dx.doi.org/10.1155/2013/976271 |
| spellingShingle | K. S. Govinder Symbolic Implementation of Preliminary Group Classiffication for Ordinary Differential Equations Journal of Applied Mathematics |
| title | Symbolic Implementation of Preliminary Group Classiffication for Ordinary Differential Equations |
| title_full | Symbolic Implementation of Preliminary Group Classiffication for Ordinary Differential Equations |
| title_fullStr | Symbolic Implementation of Preliminary Group Classiffication for Ordinary Differential Equations |
| title_full_unstemmed | Symbolic Implementation of Preliminary Group Classiffication for Ordinary Differential Equations |
| title_short | Symbolic Implementation of Preliminary Group Classiffication for Ordinary Differential Equations |
| title_sort | symbolic implementation of preliminary group classiffication for ordinary differential equations |
| url | http://dx.doi.org/10.1155/2013/976271 |
| work_keys_str_mv | AT ksgovinder symbolicimplementationofpreliminarygroupclassifficationforordinarydifferentialequations |