Treatment a New Approximation Method and Its Justification for Sturm-Liouville Problems

dc.contributor.authorMukhtarov, Okan Sh.
dc.contributor.authorYücel, Merve
dc.contributor.authorAydemir, Kadriye
dc.date.accessioned2021-11-01T15:05:14Z
dc.date.available2021-11-01T15:05:14Z
dc.date.issued2020
dc.department[Belirlenecek]
dc.description.abstractIn this paper, we propose a new approximation method (we shall call this method as alpha-parameterized differential transform method), which differs from the traditional differential transform method in calculating the coefficients of Taylor polynomials. Numerical examples are presented to illustrate the efficiency and reliability of our own method. Namely, two Sturm-Liouville problems are solved by the present alpha-parameterized differential transform method, and the obtained results are compared with those obtained by the classical DTM and by the analytical method. The result reveals that alpha-parameterized differential transform method is a simple and effective numerical algorithm.
dc.description.sponsorshipAmasya UniversityAmasya University [FMB-BAP 19-0391]en_US
dc.description.sponsorshipThis work was supported by the research fund of Amasya University under grant no FMB-BAP 19-0391.en_US
dc.identifier.doi10.1155/2020/8019460
dc.identifier.issn1076-2787
dc.identifier.issn1099-0526
dc.identifier.scopus2-s2.0-85085504108
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1155/2020/8019460
dc.identifier.urihttps://hdl.handle.net/11491/7189
dc.identifier.volume2020en_US
dc.identifier.wosWOS:000537094500006
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorYücel, Merve
dc.language.isoen
dc.publisherWiley-Hindawi
dc.relation.ispartofComplexity
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subject[No Keywords]en_US
dc.titleTreatment a New Approximation Method and Its Justification for Sturm-Liouville Problems
dc.typeArticle

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