Implicit method of high accuracy on hexagonal grids for approximating the solution to heat equation on rectangle

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dc.authorid0000-0002-3446-1521en_US
dc.authorid0000-0002-4572-0891en_US
dc.contributor.authorBuranay, Suzan C.
dc.contributor.authorArshad, Nouman
dc.date.accessioned2024-07-12T20:47:18Z
dc.date.available2024-07-12T20:47:18Z
dc.date.issued2021en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractA two layer Implicit method on hexagonal grids is proposed for approximating the solution to first type boundary value problem of heat equation on rectangle. It is proven that the given implicit scheme is unconditionally stable and converges to the exact solution on the grids of order O h4 +?2 where, h and ?3 2 h are the step sizes in space variables x1 and x2 respectively and ? is the step size in time. The method is applied on a test problem and the obtained numerical results justify the given theoretical results.en_US
dc.identifier.citationBuranay, S. C. ve Arshad, N. (2021). Implicit method of high accuracy on hexagonal grids for approximating the solution to heat equation on rectangle. Fourth International Conference of Mathematical Sciences, Maltepe Üniversitesi. s. 1-4.en_US
dc.identifier.endpage4en_US
dc.identifier.isbn978-0-7354-4078-4
dc.identifier.startpage1en_US
dc.identifier.urihttps://aip.scitation.org/doi/10.1063/5.0042186
dc.identifier.urihttps://hdl.handle.net/20.500.12415/1975
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofFourth International Conference of Mathematical Sciencesen_US
dc.relation.isversionof10.1063/5.0042186en_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY07395
dc.subjectFinite difference methoden_US
dc.subjectHexagonal griden_US
dc.subjectStability analysisen_US
dc.subjectError boundsen_US
dc.subjectTwo dimensional heat equationen_US
dc.titleImplicit method of high accuracy on hexagonal grids for approximating the solution to heat equation on rectangleen_US
dc.typeConference Object
dspace.entity.typePublication

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