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Adaptive multi-step differential transformation method to solving nonlinear differential equations

dc.contributor.authorGokdogan, Ahmet
dc.contributor.authorMerdan, Mehmet
dc.contributor.authorYildirim, Ahmet
dc.date.accessioned2021-11-09T19:49:33Z
dc.date.available2021-11-09T19:49:33Z
dc.date.issued2012
dc.identifier.issn0895-7177
dc.identifier.issn1872-9479
dc.identifier.urihttps://doi.org/10.1016/j.mcm.2011.09.001
dc.identifier.urihttps://hdl.handle.net/20.500.12440/4068
dc.description.abstractIn this paper, we propose a fast and effective adaptive algorithm for the multi-step differential transformation method (MsDTM). This approach named as the adaptive MsDTM is applied to a number of nonlinear differential equations and numerical results are given. At the same time, a comparison between the MsDTM and the adaptive MsDTM reveals that the proposed approach is an efficiency tool for solving the considered equations using fewer time steps. (C) 2011 Elsevier Ltd. All rights reserved.en_US
dc.description.sponsorshipTUBITAK (The Scientific and Technological Research Council of TURKEY)Turkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK)en_US
dc.description.sponsorshipAuthors thank to TUBITAK (The Scientific and Technological Research Council of TURKEY) for their financial support.en_US
dc.language.isoengen_US
dc.publisherPergamon-Elsevier Science Ltden_US
dc.relation.ispartofMathematical and Computer Modellingen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectAdaptive algorithmen_US
dc.subjectMulti-step differential transformation methoden_US
dc.subjectNonlinear differential equationsen_US
dc.titleAdaptive multi-step differential transformation method to solving nonlinear differential equationsen_US
dc.typearticleen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.description.wospublicationidWOS:000298660000043en_US
dc.description.scopuspublicationid2-s2.0-84855205327en_US
dc.departmentGümüşhane Üniversitesien_US
dc.authoridyildirim, ahmet / 0000-0001-8989-4271
dc.authoridGokdogan, Ahmet / 0000-0002-2663-500X
dc.identifier.volume55en_US
dc.identifier.issue3-4en_US
dc.identifier.startpage761en_US
dc.identifier.doi10.1016/j.mcm.2011.09.001
dc.identifier.endpage769en_US
dc.authorwosidyildirim, ahmet / L-9328-2019
dc.authorwosidGokdogan, Ahmet / B-5816-2011
dc.authorwosidGokdogan, Ahmet / A-1798-2016
dc.authorscopusid37067342300
dc.authorscopusid34980002400
dc.authorscopusid14832004200


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