A local meshfree radial point interpolation method for Berger equation arising in modelling of thin plates

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dc.authorid0000-0002-6655-3543en_US
dc.contributor.authorOruç, Ömer
dc.date.accessioned2023-08-07T13:23:45Z
dc.date.available2023-08-07T13:23:45Z
dc.date.issued2023en_US
dc.departmentDicle Üniversitesi, Fen Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this study, two-dimensional (2D) Berger equation arising in deflection of thin plates is solved numerically. A local meshfree collocation technique based on radial point interpolation is developed for the Berger equation. As radial basis function thin plate splines are used to avoid selecting optimal shape parameter. The method is used to solve both linear and non-linear Berger equation on regular and irregular geometries. Obtained results during numerical simulations, are compared with different methods exist in literatrue such as method of fundamental solutions, local Kansa’s method and Pascal polynomial based meshless method. The comparisons affirm the accuracy and reliability of the suggested method.en_US
dc.identifier.citationOruç, Ö. (2023). A local meshfree radial point interpolation method for Berger equation arising in modelling of thin plates. Applied Mathematical Modelling, (122), 555-571.en_US
dc.identifier.doi10.1016/j.apm.2023.03.014
dc.identifier.endpage571en_US
dc.identifier.issn0307-904X
dc.identifier.issue122en_US
dc.identifier.scopus2-s2.0-85163190409
dc.identifier.scopusqualityQ1
dc.identifier.startpage555en_US
dc.identifier.urihttps://www.scopus.com/record/display.uri?eid=2-s2.0-85163190409
dc.identifier.urihttps://hdl.handle.net/11468/12445
dc.identifier.wosWOS:001033871600001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorOruç, Ömer
dc.language.isoenen_US
dc.publisherElsevier Inc.en_US
dc.relation.ispartofApplied Mathematical Modelling
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectDeflection of thin platesen_US
dc.subjectLocal radial point interpolationen_US
dc.subjectMeshfree methoden_US
dc.subjectBerger equationen_US
dc.titleA local meshfree radial point interpolation method for Berger equation arising in modelling of thin platesen_US
dc.titleA local meshfree radial point interpolation method for Berger equation arising in modelling of thin plates
dc.typeArticleen_US

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