Numerical simulation of two-dimensional and three-dimensional generalized Klein-Gordon-Zakharov equations with power law nonlinearity via a meshless collocation method based on barycentric rational interpolation

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dc.authorid0000-0002-6655-3543en_US
dc.contributor.authorOruç, Ömer
dc.date.accessioned2023-03-09T08:16:47Z
dc.date.available2023-03-09T08:16:47Z
dc.date.issued2022en_US
dc.departmentDicle Üniversitesi, Fen Fakültesi, Matematik Bölümüen_US
dc.description.abstractThis study presents numerical simulations of generalized two-dimensional (2D) and three-dimensional (3D) Klein-Gordon-Zakharov (KGZ) equations with power law nonlinearity, which are coupled nonlinear partial differential equations. A meshless collocation method based on barycentric rational interpolation is developed for space variable of the KGZ equations. For time discretization, an explicit low storage fourth order Runge Kutta method is proposed after transforming KGZ equations to system of ordinary differential equations by introducing auxiliary variables. L-infinity and L-2 error norms for some test problems are computed. Obtained numerical results and comparisons with finite element methods indicate that barycentric rational interpolation method is an efficient method for solving multidimensional generalized KGZ system numerically.en_US
dc.identifier.citationOruç, Ö. (2022). Numerical simulation of two-dimensional and three-dimensional generalized Klein-Gordon-Zakharov equations with power law nonlinearity via a meshless collocation method based on barycentric rational interpolation. Numerical Methods For Partial Differential Equation, 38(4), 1068-1089.en_US
dc.identifier.doi10.1002/num.22806
dc.identifier.endpage1089en_US
dc.identifier.issn0749-159X
dc.identifier.issn1098-2426
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85123897051
dc.identifier.scopusqualityQ1
dc.identifier.startpage1068en_US
dc.identifier.urihttps://onlinelibrary.wiley.com/doi/epdf/10.1002/num.22806
dc.identifier.urihttps://hdl.handle.net/11468/11337
dc.identifier.volume38en_US
dc.identifier.wosWOS:000748532400001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorOruç, Ömer
dc.language.isoenen_US
dc.publisherWileyen_US
dc.relation.ispartofNumerical Methods For Partial Differential Equation
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectBarycentric rational interpolation methoden_US
dc.subjectMeshless methoden_US
dc.subjectMultidimensional generalized Klein-Gordon- Zakharov equationsen_US
dc.titleNumerical simulation of two-dimensional and three-dimensional generalized Klein-Gordon-Zakharov equations with power law nonlinearity via a meshless collocation method based on barycentric rational interpolationen_US
dc.titleNumerical simulation of two-dimensional and three-dimensional generalized Klein-Gordon-Zakharov equations with power law nonlinearity via a meshless collocation method based on barycentric rational interpolation
dc.typeArticleen_US

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