The Hunter-Saxton Equation: A Numerical Approach Using Collocation Method

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dc.authoridEsen, Alaattin/0000-0002-7927-5941
dc.authoridKaraagac, Berat/0000-0002-6020-3243
dc.authorwosidEsen, Alaattin/ABE-5694-2021
dc.authorwosidKaraagac, Berat/E-6311-2019
dc.contributor.authorKaraagac, Berat
dc.contributor.authorEsen, Alaattin
dc.date.accessioned2024-08-04T20:45:21Z
dc.date.available2024-08-04T20:45:21Z
dc.date.issued2018
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this study, we are going to present an overview on the Hunter-Saxton equation which is a famous equation modelling waves in a massive director field of a nematic liquid crystal. The collocation finite element method is based on quintic B-spline basis for obtaining numerical solutions of the equation. Using this method, after discretization, solution of the equation expressed as linear combination of shape functions and B-spline basis. So, Hunter-Saxton equation converted to nonlinear ordinary differential equation system. With the aid of the error norms L-2 and L-infinity, some comparisons are presented between numeric and exact solutions for different step sizes. As a result, the authors observed that the method is a powerful, suitable and reliable numerical method for solving various kind of partial differential equations.en_US
dc.identifier.doi10.1002/num.22199
dc.identifier.endpage1644en_US
dc.identifier.issn0749-159X
dc.identifier.issn1098-2426
dc.identifier.issue5en_US
dc.identifier.scopus2-s2.0-85050744627en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage1637en_US
dc.identifier.urihttps://doi.org/10.1002/num.22199
dc.identifier.urihttps://hdl.handle.net/11616/98405
dc.identifier.volume34en_US
dc.identifier.wosWOS:000448859600010en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWileyen_US
dc.relation.ispartofNumerical Methods For Partial Differential Equationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectfinite element methoden_US
dc.subjectcollocation methoden_US
dc.subjectHunter-Saxton equationen_US
dc.subjectquintic B-splineen_US
dc.titleThe Hunter-Saxton Equation: A Numerical Approach Using Collocation Methoden_US
dc.typeArticleen_US

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