EXPANDED LIE GROUP TRANSFORMATIONS AND SIMILARITY REDUCTIONS FOR THE CELEBRITY BLACK-SCHOLES EQUATION IN FINANCE

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dc.contributor.authorPolat, R.
dc.contributor.authorOzis, T.
dc.date.accessioned2019-10-27T22:06:01Z
dc.date.available2019-10-27T22:06:01Z
dc.date.issued2014
dc.departmentEge Üniversitesien_US
dc.description.abstractIn 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.en_US
dc.identifier.endpage77en_US
dc.identifier.issn1683-3511
dc.identifier.issn1683-6154
dc.identifier.issn1683-3511en_US
dc.identifier.issn1683-6154en_US
dc.identifier.issue1en_US
dc.identifier.startpage71en_US
dc.identifier.urihttps://hdl.handle.net/11454/48679
dc.identifier.volume13en_US
dc.identifier.wosWOS:000332593000007en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherMinistry Communications & High Technologies Republic Azerbaijanen_US
dc.relation.ispartofApplied and Computational Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectBlack-Scholes Equationen_US
dc.subjectContinuous Groups of Transformationsen_US
dc.subjectExpanded Lie Group Transformationsen_US
dc.subjectReduction Formen_US
dc.titleEXPANDED LIE GROUP TRANSFORMATIONS AND SIMILARITY REDUCTIONS FOR THE CELEBRITY BLACK-SCHOLES EQUATION IN FINANCEen_US
dc.typeArticleen_US

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