A computational method for nonlinear Burgers’ equation using quartic-trigonometric tension B-splines

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dc.authoridTofigh Allahviranloo / 0000-0002-6673-3560en_US
dc.authorscopusidTofigh Allahviranloo / 8834494700en_US
dc.authorwosidTofigh Allahviranloo / V-4843-2019
dc.contributor.authorYigit, Gulsemay
dc.contributor.authorHepson, Ozlem Ersoy
dc.contributor.authorAllahviranloo, Tofigh
dc.date.accessioned2022-07-05T14:13:58Z
dc.date.available2022-07-05T14:13:58Z
dc.date.issued2022en_US
dc.departmentİstinye Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractThis work proposes a finite element method emphasizing with quartic-trigonometric basis functions for finding the numerical solution of nonlinear Burgers’ equation. The computational scheme is constructed by a discretized space-time hybrid approach using B-spline functions. This methodology produces a system of time-dependent differential equations which is integrated by finite elements technique. The experimental cases including graphical patterns of each wave interaction are simulated by the current computational algorithm. In addition, the method establishes the capacity to provide highly efficient solutions with relative ease of computation. Investigation of the stability analysis shows that the current computational method serves an unconditional stable numerical scheme. © 2022, The Author(s), under exclusive licence to Islamic Azad University.en_US
dc.identifier.citationYigit, G., Hepson, O. E., & Allahviranloo, T. (2022). A computational method for nonlinear burgers’ equation using quartic-trigonometric tension B-splines. Mathematical Sciences, doi:10.1007/s40096-022-00481-1en_US
dc.identifier.doi10.1007/s40096-022-00481-1en_US
dc.identifier.issn2008-1359en_US
dc.identifier.scopus2-s2.0-85132856901en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1007/s40096-022-00481-1
dc.identifier.urihttps://hdl.handle.net/20.500.12713/2967
dc.identifier.wosWOS:000817015800001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorAllahviranloo, Tofigh
dc.language.isoenen_US
dc.publisherSpringer Medizinen_US
dc.relation.ispartofMathematical Sciencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectBurgers’ Equationen_US
dc.subjectGalerkin Methoden_US
dc.subjectQuartic-Trigonometric Tension B-splineen_US
dc.subjectStability Analysisen_US
dc.subjectWave Motionen_US
dc.titleA computational method for nonlinear Burgers’ equation using quartic-trigonometric tension B-splinesen_US
dc.typeArticleen_US

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