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

MakaleAçık Erişim

Özet

In 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.

Anahtar Kelimeler

Adaptive algorithmMulti-step differential transformation methodNonlinear differential equations
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/10273Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1016/j.mcm.2011.09.001Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorGökdogan, Ahmet
dc.contributor.authorMerdan, Mehmet
dc.contributor.authorYildirim, Ahmet
dc.date.accessioned2026-10-22T09:22:52.237665537Z
dc.date.available2026-10-22T09:22:52.237665537Z
dc.date.issued2012-02
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.
dc.description.sponsorshipTUBITAK (The Scientific and Technological Research Council of TURKEY)
dc.identifier.doi10.1016/j.mcm.2011.09.001
dc.identifier.eissn1872-9479
dc.identifier.endpage769
dc.identifier.issn0895-7177
dc.identifier.issue3-4
dc.identifier.scopus2-s2.0-84855205327
dc.identifier.startpage761
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/10273
dc.identifier.volume55
dc.identifier.wosWOS:000298660000043
dc.language.isoen
dc.publisherPERGAMON-ELSEVIER SCIENCE LTD
dc.relation.ispartofMATHEMATICAL AND COMPUTER MODELLING
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectAdaptive algorithm
dc.subjectMulti-step differential transformation method
dc.subjectNonlinear differential equations
dc.subject.classificationComputer Science, Interdisciplinary Applications
dc.subject.classificationComputer Science, Software Engineering
dc.subject.classificationMathematics, Applied
dc.subject.classificationComputer Science
dc.subject.classificationMathematics
dc.subject.otherSYSTEM
dc.titleAdaptive multi-step differential transformation method to solving nonlinear differential equations
dc.typeArticle
dspace.entity.typePublication
rdl.citation.openalex48
rdl.citation.scopus47
rdl.citation.wos30
rdl.oa.statusbronze
rdl.oa.urlhttps://www.sciencedirect.com/science/article/pii/S0895717711005462/pdf
rdl.source.indexWOS
rdl.source.indexSCOPUS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)