A comparative study of numerical methods for solving (n+1) dimensional and third-order partial differential equations

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dc.contributor.authorAcan, Omer
dc.contributor.authorKeskin, Yildiray
dc.date.accessioned2024-12-24T19:10:03Z
dc.date.available2024-12-24T19:10:03Z
dc.date.issued2016
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this study, we compare the reduced differential transform method and the variational iteration method. This has been achieved by handling (2+1) dimensional and third-order type of the Zakharov-Kuznetsov ZK(m,m) partial differential equations. Two numerical examples have also been carried out to validate and demonstrate efficiency of the two methods. Also, it is shown that the reduced differential transform method has advantage over variational iteration method. This method is very fast, efficient, applicable and has powerful effects in linear and nonlinear problems. © 2016 American Scientific Publishers All rights reserved.
dc.identifier.doi10.1166/jctn.2016.6044
dc.identifier.endpage8807
dc.identifier.issn1546-1955
dc.identifier.issue11
dc.identifier.scopus2-s2.0-85015181531
dc.identifier.scopusqualityN/A
dc.identifier.startpage8800
dc.identifier.urihttps://doi.org10.1166/jctn.2016.6044
dc.identifier.urihttps://hdl.handle.net/20.500.12604/3918
dc.identifier.volume13
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherAmerican Scientific Publishers
dc.relation.ispartofJournal of Computational and Theoretical Nanoscience
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectNumerical solution
dc.subjectPartial differential equations (PDES)
dc.subjectReduced differential transform method (RDTM)
dc.subjectVariational iteration method (VIM)
dc.subjectZakharov kuznetsov ZK(MM) equations
dc.titleA comparative study of numerical methods for solving (n+1) dimensional and third-order partial differential equations
dc.typeConference Object

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