On the invariants of two dimensional linear parabolic equations
dc.contributor.author | Tsaousi, Christina | en |
dc.contributor.author | Sophocleous, Christodoulos | en |
dc.contributor.author | Tracinà, Rita | en |
dc.creator | Tsaousi, Christina | en |
dc.creator | Sophocleous, Christodoulos | en |
dc.creator | Tracinà, Rita | en |
dc.date.accessioned | 2019-12-02T10:38:36Z | |
dc.date.available | 2019-12-02T10:38:36Z | |
dc.date.issued | 2012 | |
dc.identifier.issn | 1007-5704 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/57710 | |
dc.description.abstract | We consider the most general two dimensional linear parabolic equations. Motivated by the recent work of Ibragimov et al. [1-3] we construct differential invariants, semi-invariants and invariant equations. These results are achieved with the employment of the equivalence group admitted by this class of parabolic equations. We derive those variable coefficient equations of this class of linear parabolic equations that can be mapped into constant coefficient equations. Further applications are presented. © 2012 Elsevier B.V. | en |
dc.source | Communications in Nonlinear Science and Numerical Simulation | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-84859157868&doi=10.1016%2fj.cnsns.2012.01.015&partnerID=40&md5=a98af3e340c1190a67b91e10e58c429f | |
dc.subject | Mathematical transformations | en |
dc.subject | Partial differential equations | en |
dc.subject | Constant coefficients | en |
dc.subject | Variable coefficients | en |
dc.subject | Two dimensional | en |
dc.subject | Parabolic equations | en |
dc.subject | Equivalence transformations | en |
dc.subject | Equivalence classes | en |
dc.subject | Differential invariants | en |
dc.subject | Linear parabolic equation | en |
dc.subject | Linear transformations | en |
dc.subject | Point transformations | en |
dc.title | On the invariants of two dimensional linear parabolic equations | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1016/j.cnsns.2012.01.015 | |
dc.description.volume | 17 | |
dc.description.issue | 9 | |
dc.description.startingpage | 3673 | |
dc.description.endingpage | 3681 | |
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 :3</p> | en |
dc.source.abbreviation | Comm.Nonlinear Sci.Numer.Simul. | en |
dc.contributor.orcid | Sophocleous, Christodoulos [0000-0001-8021-3548] | |
dc.gnosis.orcid | 0000-0001-8021-3548 |
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