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On the Semi-Analytical Solutions for the Kudryashov-Sinelshchikov Dynamical Equation Arising in Mixtures of Liquid and Gas Bubbles without Neglecting of Heat Transfer and Viscosity

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dc.authorscopusid57893778300
dc.authorscopusid56426587000
dc.contributor.authorAydin, E.
dc.contributor.authorCilingir Sungu, I.Ç.
dc.date.accessioned2025-12-11T01:48:50Z
dc.date.issued2023
dc.departmentOndokuz Mayıs Üniversitesien_US
dc.department-temp[Aydin] Emre, Department of Mathematics, Ondokuz Mayis Üniversitesi, Samsun, Turkey; [Cilingir Sungu] Inci, Department of Mathematics, Ondokuz Mayis Üniversitesi, Samsun, Turkeyen_US
dc.description.abstractIn this study, Banach contraction method (BCM), Daftardar-Jafari method (DJM) and modified variational iteration method (MVIM) are proposed for the semi-analytical solutions of the Kudryashov-Sinelshchikov (K-S) dynamical equation. It has been shown that the analytical and semi-analytical solutions for the K-S dynamical equation with initial value problems by using semi-analytical methods can be obtained. In addition, the effectiveness and usefulness of the semi-analytical methods used are supported by tables and 3D figures. As the number of iteration or terms increases, how the semi-analytical solutions behave over time and converge to the exact solution is shown in detail with 2D figures. Also, it is shown comparison of semi-analytical solutions with exact solutions and error analysis with the help of tables. It has been discussed the methods are compared with each other and whether they are suitable for the K-S dynamical equation. © MatDer.en_US
dc.identifier.doi10.47000/tjmcs.1236315
dc.identifier.endpage325en_US
dc.identifier.issn2148-1830
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85202521857
dc.identifier.startpage312en_US
dc.identifier.trdizinid1218708
dc.identifier.urihttps://doi.org/10.47000/tjmcs.1236315
dc.identifier.urihttps://search.trdizin.gov.tr/en/yayin/detay/1218708/on-the-semi-analytical-solutions-for-the-kudryashov-sinelshchikov-dynamical-equation-arising-in-mixtures-of-liquid-and-gas-bubbles-without-neglecting-of-heat-transfer-and-viscosity
dc.identifier.urihttps://hdl.handle.net/20.500.12712/46581
dc.identifier.volume15en_US
dc.language.isoenen_US
dc.publisherAssociation of Mathematicians (MATDER)en_US
dc.relation.ispartofTurkish Journal of Mathematics and Computer Scienceen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectBanach Contraction Method (BCM)en_US
dc.subjectDaftardarjafari Method (DJM)en_US
dc.subjectKudryashov-Sinelshchikov (K-S) Dynamical Equationen_US
dc.subjectModified Variational Iteration Method (MVIM)en_US
dc.titleOn the Semi-Analytical Solutions for the Kudryashov-Sinelshchikov Dynamical Equation Arising in Mixtures of Liquid and Gas Bubbles without Neglecting of Heat Transfer and Viscosityen_US
dc.typeArticleen_US
dspace.entity.typePublication

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