Expanded lie group transformations and similarity reductions for the celebrity black-scholes equation in finance
| dc.contributor.author | Refet Polat | |
| dc.contributor.author | Turgut Ozis | |
| dc.contributor.author | Ozis, T. | |
| dc.contributor.author | Polat, R. | |
| dc.date.accessioned | 2025-10-06T17:52:34Z | |
| dc.date.issued | 2014 | |
| dc.description.abstract | In this study we consider continuous groups of transformations acting on expanded space of variables which includes the equation parameters in addition to independent and dependent variables. We have shown that the use of the expanded transformations and similarity reductions enable us to reduce celebrity Black-Scholes equation to formerly unknown reduced (target) ordinary differential equations. Moreover the obtained reduced ordinary equations are used to find the exact solution of celebrity Black-Scholes equation in finance. © 2023 Elsevier B.V. All rights reserved. | |
| dc.identifier.issn | 16833511 | |
| dc.identifier.issn | 1683-3511 | |
| dc.identifier.scopus | 2-s2.0-84983559875 | |
| dc.identifier.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-84983559875&partnerID=40&md5=3b4e0324643b1e70031ed10753601972 | |
| dc.identifier.uri | https://gcris.yasar.edu.tr/handle/123456789/10007 | |
| dc.language.iso | English | |
| dc.publisher | Azerbaijan National Academy of Sciences | |
| dc.relation.ispartof | Applied and Computational Mathematics | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.source | Applied and Computational Mathematics | |
| dc.subject | Black-scholes Equation, Continuous Groups Of Transformations, Expanded Lie Group Transformations, Reduction Form | |
| dc.subject | Continuous Groups of Transformations | |
| dc.subject | Black-Scholes Equation | |
| dc.subject | Expanded Lie Group Transformations | |
| dc.subject | Reduction Form | |
| dc.title | Expanded lie group transformations and similarity reductions for the celebrity black-scholes equation in finance | |
| dc.type | Article | |
| dspace.entity.type | Publication | |
| gdc.author.scopusid | 54401461400 | |
| gdc.author.scopusid | 55939079700 | |
| gdc.coar.type | text::journal::journal article | |
| gdc.description.department | ||
| gdc.description.departmenttemp | [Polat R.] Yasar University, Department of Mathematics, Faculty of Science and Letters, Izmir, Turkey; [Ozis T.] Ege University, Department of Mathematics, Science Faculty, Bornova-Izmir, 35100, Turkey | |
| gdc.description.endpage | 77 | |
| gdc.description.issue | 1 | |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| gdc.description.startpage | 71 | |
| gdc.description.volume | 13 | |
| gdc.index.type | Scopus | |
| gdc.scopus.citedcount | 2 | |
| gdc.virtual.author | Polat, Refet | |
| oaire.citation.endPage | 77 | |
| oaire.citation.startPage | 71 | |
| person.identifier.scopus-author-id | Polat- Refet (54401461400), Ozis- Turgut (55939079700) | |
| publicationissue.issueNumber | 1 | |
| publicationvolume.volumeNumber | 13 | |
| relation.isAuthorOfPublication | cb4c62f5-4e33-481a-9fa1-e6995f714d2c | |
| relation.isAuthorOfPublication.latestForDiscovery | cb4c62f5-4e33-481a-9fa1-e6995f714d2c | |
| relation.isOrgUnitOfPublication | ac5ddece-c76d-476d-ab30-e4d3029dee37 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | ac5ddece-c76d-476d-ab30-e4d3029dee37 |