Numerical solution of a hydrodynamics problem with a nonlinear source function in a class of discontinuous functions

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dc.contributor.authorSinsoysal, Bahaddin
dc.contributor.authorRasulov, Mahir
dc.contributor.authorIskenderova, Revane
dc.date.accessioned2024-06-13T20:15:59Z
dc.date.available2024-06-13T20:15:59Z
dc.date.issued2024
dc.departmentFakülteler, Mühendislik Fakültesi, Bilgisayar Mühendisliği Bölümü
dc.description6th International Conference on Analysis and Applied Mathematics, ICAAM 2022 -- Antalya -- 31 October-6 November 2022
dc.description.abstractIn this paper, a new numerical method is proposed for solving the generalized Buckley-Leverett problem, which describes the movement of two-phase mixtures in Bazhenov bed sediments in a class of discontinuous functions. For this aim, an auxiliary problem that has some advantages over the main problem and is equivalent to the main problem in a definite sense is introduced. By developing an original finite difference method obtained via advantages of the auxiliary problem, it is proposed that the efficient and economical numerical algorithms from a computer point of view for finding the weak solution of the main problem. In addition to these, the auxiliary problem also allows us to obtain the weak solution in a class of discontinuous functions, which accurately describes all physical properties of the problem.
dc.identifier.doi10.1063/5.0194805
dc.identifier.isbn9780735448360
dc.identifier.issn0094-243X
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85186093825
dc.identifier.scopusqualityQ4
dc.identifier.urihttps://doi.org/10.1063/5.0194805
dc.identifier.urihttps://hdl.handle.net/11501/998
dc.identifier.volume3085
dc.indekslendigikaynakScopus
dc.institutionauthorSinsoysal, Bahaddin
dc.institutionauthorid0000-0003-2926-2744
dc.language.isoen
dc.publisherAmerican Institute of Physics Inc.
dc.relation.ispartof6th International Conference on Analysis and Applied Mathematics, ICAAM 2022
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.titleNumerical solution of a hydrodynamics problem with a nonlinear source function in a class of discontinuous functions
dc.typeConference Object

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