The finite differences scheme for the first order system of nonlinear differential equations in a class of discontinuous functions

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dc.contributor.authorRasulov, M
dc.date.accessioned2024-03-13T10:35:10Z
dc.date.available2024-03-13T10:35:10Z
dc.date.issued2004
dc.departmentİstanbul Beykent Üniversitesien_US
dc.description.abstractIn this paper, the finite difference scheme for solving the Cauchy problem for the simplified Euler system in a class of discontinuous functions, which describes irrational flow of fluid by neglecting the viscosity and temperature effects is investigated. For this purpose, firstly the Euler system is decomposed with respect to its coordinates. Then an auxiliary problem which is superior to the main problem in terms of obtaining the solution is introduced, and the solutions of this auxiliary problem are smoother than the solutions of the main problem. Additionally, the auxiliary problem provides to develop effective and economical algorithms. (C) 2003 Elsevier Inc. All rights reserved.en_US
dc.identifier.doi10.1016/S0096-3003(03)00742-2
dc.identifier.endpage681en_US
dc.identifier.issn0096-3003
dc.identifier.issn1873-5649
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-3042800320en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage671en_US
dc.identifier.urihttps://doi.org/10.1016/S0096-3003(03)00742-2
dc.identifier.urihttps://hdl.handle.net/20.500.12662/4292
dc.identifier.volume154en_US
dc.identifier.wosWOS:000223013900006en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevier Science Incen_US
dc.relation.ispartofApplied Mathematics And Computationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectcomputational hydrodynamicsen_US
dc.subjectcompressible and incompressible flowen_US
dc.subjectEuler systemsen_US
dc.subjectnumerical modelingen_US
dc.subjectshock wavesen_US
dc.titleThe finite differences scheme for the first order system of nonlinear differential equations in a class of discontinuous functionsen_US
dc.typeArticleen_US

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