Finite difference method for solving boundary initial value problem of a system hyperbolic equations in a class of discontinuous functions

dc.contributor.authorRasulov, M
dc.contributor.authorKaraguler, T
dc.contributor.authorSinsoysal, B
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, a finite-difference method for solving boundary initial value problem of nonlinear system equations of hyperbolic type in a class of discontinuous functions is suggested. In order to obtain the numerical solution of the Main problem in a class of discontinuous functions the auxiliary problem is introduced. The degree of smoothness of the solution of the auxiliary problem is higher than of smoothness of the solution of the main problem. Furthermore, the suggested auxiliary problem lets us write out effective and-higher order numerical algorithms. The solutions obtained from these algorithms represent the physical nature of the problem with a high accuracy. Some numerical experiments are carried out by using the auxiliary problem. (C) 2003 Elsevier Inc. All rights reserved.en_US
dc.identifier.doi10.1016/S0096-3003(02)00956-6
dc.identifier.endpage63en_US
dc.identifier.issn0096-3003
dc.identifier.issn1873-5649
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-0346750519en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage47en_US
dc.identifier.urihttps://doi.org/10.1016/S0096-3003(02)00956-6
dc.identifier.urihttps://hdl.handle.net/20.500.12662/4291
dc.identifier.volume149en_US
dc.identifier.wosWOS:000188196000004en_US
dc.identifier.wosqualityQ3en_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.subjectnumerical modellingen_US
dc.subjectshock wavesen_US
dc.titleFinite difference method for solving boundary initial value problem of a system hyperbolic equations in a class of discontinuous functionsen_US
dc.typeArticleen_US

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