| dc.contributor.author | Ivanova, Nataliya M. | en |
| dc.contributor.author | Sophocleous, Christodoulos | en |
| dc.creator | Ivanova, Nataliya M. | en |
| dc.creator | Sophocleous, Christodoulos | en |
| dc.date.accessioned | 2019-12-02T10:35:40Z | |
| dc.date.available | 2019-12-02T10:35:40Z | |
| dc.date.issued | 2006 | |
| dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/56960 | |
| dc.description.abstract | We consider the variable coefficient diffusion-convection equation of the form f (x) ut = [g (x) D (u) ux]x + h (x) K (u) ux which has considerable interest in mathematical physics, biology and chemistry. We present a complete group classification for this class of equations. Also we derive equivalence transformations between equations that admit Lie symmetries. Furthermore, we obtain mappings that connect variable and constant coefficient equations. Exact solutions of special forms of this equations are constructed using Lie symmetries and equivalence transformations. © 2005 Elsevier B.V. All rights reserved. | en |
| dc.source | Journal of Computational and Applied Mathematics | en |
| dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-33747329649&doi=10.1016%2fj.cam.2005.11.008&partnerID=40&md5=e4c986359fa922687f3f86f6ca4419f0 | |
| dc.subject | Diffusion | en |
| dc.subject | Mathematical transformations | en |
| dc.subject | Nonlinear equations | en |
| dc.subject | Mapping | en |
| dc.subject | Equivalence transformations | en |
| dc.subject | Lie symmetries | en |
| dc.subject | Convection-diffusion equation | en |
| dc.subject | Nonlinear diffusion equations | en |
| dc.title | On the group classification of variable-coefficient nonlinear diffusion-convection equations | en |
| dc.type | info:eu-repo/semantics/article | |
| dc.identifier.doi | 10.1016/j.cam.2005.11.008 | |
| dc.description.volume | 197 | |
| dc.description.issue | 2 | |
| dc.description.startingpage | 322 | |
| dc.description.endingpage | 344 | |
| dc.author.faculty | Σχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences | |
| dc.author.department | Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics | |
| dc.type.uhtype | Article | en |
| dc.description.notes | <p>Cited By :29</p> | en |
| dc.source.abbreviation | J.Comput.Appl.Math. | en |
| dc.contributor.orcid | Sophocleous, Christodoulos [0000-0001-8021-3548] | |
| dc.gnosis.orcid | 0000-0001-8021-3548 | |
