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The Multi-Step Differential Transform Method and Its Application to Determine the Solutions of Non-Linear Oscillators

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dc.authorscopusid16303495600
dc.authorscopusid12244734200
dc.authorscopusid8842321100
dc.contributor.authorErtürk, V.S.
dc.contributor.authorOdibat, Z.M.
dc.contributor.authorMomani, S.
dc.date.accessioned2020-06-21T14:18:31Z
dc.date.available2020-06-21T14:18:31Z
dc.date.issued2012
dc.departmentOndokuz Mayıs Üniversitesien_US
dc.department-temp[Ertürk] Vedat Suat, Department of Mathematics, Ondokuz Mayis University Faculty of Science and Arts, Samsun, Turkey; [Odibat] Zaid M., Prince Abdullah Bin Ghazi Faculty of Science and IT, Al-Balqa Applied University, Salt, Al-Balqa, Jordan; [Momani] Shaher M., Department of Mathermatics, The University of Jordan, Amman, Jordanen_US
dc.description.abstractIn this paper, a reliable algorithm based on an adaptation of the standard differential transform method is presented, which is the multi-step differential transform method (MSDTM). The solutions of non-linear oscillators were obtained by MSDTM. Figurative comparisons between the MSDTM and the classical fourthorder Runge-Kutta method (RK4) reveal that the proposed technique is a promising tool to solve non-linear oscillators. © 2012 Global Science Press.en_US
dc.identifier.doi10.4208/aamm.10-m1138
dc.identifier.endpage438en_US
dc.identifier.issn2070-0733
dc.identifier.issn2075-1354
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-84867686303
dc.identifier.scopusqualityQ3
dc.identifier.startpage422en_US
dc.identifier.urihttps://doi.org/10.4208/aamm.10-m1138
dc.identifier.volume4en_US
dc.identifier.wosWOS:000306793800002
dc.identifier.wosqualityQ2
dc.language.isoenen_US
dc.publisherGlobal Science Pressen_US
dc.relation.ispartofAdvances in Applied Mathematics and Mechanicsen_US
dc.relation.journalAdvances in Applied Mathematics and Mechanicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectDifferential Transform Methoden_US
dc.subjectNon-Linear Oscillatory Systemsen_US
dc.subjectNumerical Solutionen_US
dc.titleThe Multi-Step Differential Transform Method and Its Application to Determine the Solutions of Non-Linear Oscillatorsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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