New classification techniques for ordinary differential equations
| dc.creator | Dridi, Raouf | |
| dc.creator | Petitot, Michel | |
| dc.date | 2007-11-30 | |
| dc.date | 2008-05-30 | |
| dc.date.accessioned | 2026-07-07T09:41:27Z | |
| dc.date.available | 2026-07-07T09:41:27Z | |
| dc.description | The goal of the present paper is to propose an enhanced ordinary differential equations solver by exploitation of the powerful equivalence method of Élie Cartan. This solver returns a target equation equivalent to the equation to be solved and the transformation realizing the equivalence. The target ODE is a member of a dictionary of ODE, that are regarded as well-known, or at least well-studied. The dictionary considered in this article are ODE in a book of Kamke. The major advantage of our solver is that the equivalence transformation is obtained without integrating differential equations. We provide also a theoretical contribution revealing the relationship between the change of coordinates that maps two differential equations and their symmetry pseudo-groups. | |
| dc.description | This JSC journal version of the ISSAC07 paper | |
| dc.identifier | https://arxiv.org/abs/0712.0002 | |
| dc.identifier | http://arxiv.org/abs/0712.0002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/161832 | |
| dc.subject | Differential Geometry | |
| dc.title | New classification techniques for ordinary differential equations | |
| dc.type | text |