dc.contributor.author | Vaneeva, Olena O. | en |
dc.contributor.author | Sophocleous, Christodoulos | en |
dc.contributor.author | Leach, Peter G. L. | en |
dc.creator | Vaneeva, Olena O. | en |
dc.creator | Sophocleous, Christodoulos | en |
dc.creator | Leach, Peter G. L. | en |
dc.date.accessioned | 2019-12-02T10:38:44Z | |
dc.date.available | 2019-12-02T10:38:44Z | |
dc.date.issued | 2015 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/57743 | |
dc.description.abstract | There exist several approaches exploiting Lie symmetries in the reduction of boundary-value problems for partial differential equations modelling real-world phenomena to those problems for ordinary differential equations. Using an example of generalized Burgers equations appearing in non-linear acoustics we show that the direct procedure of solving boundary-value problems using Lie symmetries first described by Bluman is more general and straightforward than the method suggested by Moran and Gaggioli [J Eng Math 3:151–162, 1969]. After performing group classification of a class of generalized Burgers equations with time-dependent viscosity we solve an associated boundary-value problem using the symmetries obtained. © 2014, Springer Science+Business Media Dordrecht. | en |
dc.source | Journal of Engineering Mathematics | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-84925536427&doi=10.1007%2fs10665-014-9741-2&partnerID=40&md5=b03f9f525eb1f34817caee285aa26f6c | |
dc.subject | Algebra | en |
dc.subject | Differential equations | en |
dc.subject | Partial differential equations | en |
dc.subject | Boundary value problems | en |
dc.subject | Ordinary differential equations | en |
dc.subject | Lie symmetries | en |
dc.subject | Burgers equation | en |
dc.subject | Burgers equations | en |
dc.subject | Group classification | en |
dc.subject | Real-world | en |
dc.subject | Boundary-value problems | en |
dc.subject | Generalized Burgers Equation | en |
dc.subject | Non-linear acoustics | en |
dc.title | Lie symmetries of generalized Burgers equations: application to boundary-value problems | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1007/s10665-014-9741-2 | |
dc.description.volume | 91 | |
dc.description.issue | 1 | |
dc.description.startingpage | 165 | |
dc.description.endingpage | 176 | |
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 | J Eng Math | en |
dc.contributor.orcid | Sophocleous, Christodoulos [0000-0001-8021-3548] | |
dc.gnosis.orcid | 0000-0001-8021-3548 | |