A blow up of solutions for a system of Klein-Gordon equations with variable exponent. Theoretical and Numerical Results

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dc.contributor.authorGözen, Sedanur Mazı
dc.contributor.authorOkutmuştur, Baver
dc.contributor.authorPişkin, Erhan
dc.contributor.authorYılmaz, Nebi
dc.date.accessioned2024-04-24T17:56:40Z
dc.date.available2024-04-24T17:56:40Z
dc.date.issued2023
dc.departmentDicle Üniversitesi, Ziya Gökalp Eğitim Fakültesi, Matematik ve Fen Bilimleri Eğitimi Bölümüen_US
dc.description.abstractIn this paper, we consider a system of Klein-Gordon equations with variable exponents. The first part of the manuscript is devoted to the proof of the blow up of solutions with negative initial energy under suitable conditions on variable exponents and initial data. The theoretical part is supported by numerical experiments based on P1-finite element method in space and the BDF and the Generalized-alpha methods in time illustrated in the second part. The numerical and analytical results of the blow up solutions agree with each other.en_US
dc.description.sponsorshipIstanbul Teknik Üniversitesi, IT: TDK-2023-44744en_US
dc.description.sponsorshipFunding: The second author SMG was supported by Istanbul Technical University (ITU)– Scientific Research Project (ITU–BAP) with the project code TDK-2023-44744.en_US
dc.identifier.citationGözen, S. M., Okutmuştur, B., Pişkin, E. ve Yılmaz, N. (2023). A blow up of solutions for a system of Klein-Gordon equations with variable exponent. Theoretical and Numerical Results. Mathematica Applicanda, 51(1), 143-164.
dc.identifier.doi10.14708/ma.v51i1.7225
dc.identifier.endpage164en_US
dc.identifier.issn1730-2668
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85184500116
dc.identifier.scopusqualityQ4
dc.identifier.startpage143en_US
dc.identifier.urihttps://doi.org/10.14708/ma.v51i1.7225
dc.identifier.urihttps://hdl.handle.net/11468/23619
dc.identifier.volume51en_US
dc.indekslendigikaynakScopus
dc.language.isoenen_US
dc.publisherPolish Mathematical Societyen_US
dc.relation.ispartofMathematica Applicanda
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectBdf methoden_US
dc.subjectBlow upen_US
dc.subjectFinite difference methoden_US
dc.subjectGeneralized-Alpha methoden_US
dc.subjectKlein-Gordon equationen_US
dc.subjectP1-Finite element methoden_US
dc.subjectVariable exponenten_US
dc.titleA blow up of solutions for a system of Klein-Gordon equations with variable exponent. Theoretical and Numerical Resultsen_US
dc.titleA blow up of solutions for a system of Klein-Gordon equations with variable exponent. Theoretical and Numerical Results
dc.typeArticleen_US

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