HE'S HOMOTOPY PERTURBATION METHOD FOR A GENERAL RICCATI EQUATION

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dc.contributor.authorOzis, Turgut
dc.contributor.authorAgirseven, Deniz
dc.date.accessioned2019-10-27T20:47:34Z
dc.date.available2019-10-27T20:47:34Z
dc.date.issued2009
dc.departmentEge Üniversitesien_US
dc.description.abstractThe factorization method of the Hamiltonian in quantum mechanics is used to solve a particular type of Riccati equation. In this paper, He's homotopy perturbation method is applied to a general Riccati equation. The obtained solutions are in recursive sequence forms and, in many cases, these solutions lead to an exact solution. This property generally means that one can solve completely the eigenvalue problem for the Hamiltonian operator. The method is tested on various examples which are revealing the effectiveness and the simplicity of the method.en_US
dc.identifier.doi10.1142/S0217979209053266
dc.identifier.endpage5693en_US
dc.identifier.issn0217-9792
dc.identifier.issn1793-6578
dc.identifier.issn0217-9792en_US
dc.identifier.issn1793-6578en_US
dc.identifier.issue30en_US
dc.identifier.startpage5683en_US
dc.identifier.urihttps://doi.org/10.1142/S0217979209053266
dc.identifier.urihttps://hdl.handle.net/11454/42576
dc.identifier.volume23en_US
dc.identifier.wosWOS:000272918400007en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherWorld Scientific Publ Co Pte Ltden_US
dc.relation.ispartofInternational Journal of Modern Physics Ben_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectHomotopy perturbation methoden_US
dc.subjectRiccati equationen_US
dc.subjectnonlinear equationsen_US
dc.titleHE'S HOMOTOPY PERTURBATION METHOD FOR A GENERAL RICCATI EQUATIONen_US
dc.typeArticleen_US

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