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An explicit characterization of spherical curves according to Bishop frame and an approximately solution

MakaleAçık ErişimScopus SJRQ3

Özet

In this paper, spherical curves are studied by using Bishop frame. First, the differential equation characterizing the spherical curves is given. Then, we exhibit that the position vector of a curve which is lying on a sphere satisfies a third-order linear differential equation. Then we solve this linear differential equation by using Bernstein series solution method.

Anahtar Kelimeler

Bernstein series solution methodBishop frameSpherical curve
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/bayburt/13613Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.2298/tsci181101049bYayıncı resmi DOI adresi
İndeks kayıtları
ScopusScopusWeb of ScienceWeb of Science
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Atıflar
Scopus
2
WoS
0
OpenAlex
1
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Tam Kayıt
AlanDeğerDil
dc.contributor.authorBalki Okullu, Pinar
dc.contributor.authorKocayigit, Huseyin
dc.contributor.authorAgirman Aydin, Tuba
dc.date.accessioned2026-10-29T19:11:13.463511639Z
dc.date.available2026-10-29T19:11:13.463511639Z
dc.date.issued2019
dc.description.abstractIn this paper, spherical curves are studied by using Bishop frame. First, the differential equation characterizing the spherical curves is given. Then, we exhibit that the position vector of a curve which is lying on a sphere satisfies a third-order linear differential equation. Then we solve this linear differential equation by using Bernstein series solution method.
dc.identifier.doi10.2298/tsci181101049b
dc.identifier.eissn2334-7163
dc.identifier.endpageS370
dc.identifier.issn0354-9836
dc.identifier.scopus2-s2.0-85065199974
dc.identifier.startpageS361
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/bayburt/13613
dc.identifier.volume23
dc.identifier.wosWOS:000465190400036
dc.language.isoen
dc.publisherSerbian Society of Heat Transfer Engineers
dc.relation.ispartofThermal Science
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectBernstein series solution method
dc.subjectBishop frame
dc.subjectSpherical curve
dc.subject.classificationThermodynamics
dc.subject.otherSpheres
dc.subject.otherBernstein series solution method
dc.subject.otherBishop frame
dc.subject.otherLinear differential equation
dc.subject.otherPosition vector
dc.subject.otherSeries solutions
dc.subject.otherSolution methods
dc.subject.otherSpherical curve
dc.subject.otherThird order
dc.subject.otherDifferential equations
dc.titleAn explicit characterization of spherical curves according to Bishop frame and an approximately solution
dc.typeArticle
rdl.citation.openalex1
rdl.citation.scopus2
rdl.citation.wos0
rdl.oa.statusgold
rdl.oa.urlhttp://www.doiserbia.nb.rs/ft.aspx?id=0354-98361900049B
rdl.scopus.quartileQ3
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)