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dc.contributor.authorAlizadeh, Abdulllahen_US
dc.contributor.authorMarasi, Hamidrezaen_US
dc.date.accessioned2020-10-12T06:43:35Z
dc.date.available2020-10-12T06:43:35Z
dc.date.issued2017
dc.identifier.citationAlizadeh, A. & Marasi, H. (2017). Numerical solution of the interrelated differential equation of motion in phonon engineering. TWMS Journal Of Applied And Engineering Mathematics, 7(1), 94-100.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttps://hdl.handle.net/11729/2615
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/93-vol7no1/282
dc.description.abstractIn this work, we study numeric calculations of phonon modes in nanostructures. The motion equation of atoms in a crystal with some simplification, results in a second order ordinary differential equation and two interrelated second order differential equations for 3 polarizations according to 3 dimensions. Although first equation can easily be solved, the next two interrelated equations cannot be solved by usual numerical methods. Based on discretization, a new technique is proposed for studying the motion equations. The results are presented by dispersion curves for shear, dilatational, and flexural modes of phonons.en_US
dc.language.isoenen_US
dc.publisherIşık University Pressen_US
dc.relation.ispartofTWMS Journal Of Applied And Engineering Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectNumeric approximationen_US
dc.subjectEigenvalue problemen_US
dc.subjectDispersion curveen_US
dc.titleNumerical solution of the interrelated differential equation of motion in phonon engineeringen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume7
dc.identifier.issue1
dc.identifier.startpage94
dc.identifier.endpage100
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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