ENTROPY SOLUTION OF A FIRST ORDER HYPERBOLIC TYPE EQUATIONS WITH A NON-CONVEX STATE FUNCTION IN A CLASS OF DISCONTINUOUS FUNCTIONS

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dc.contributor.authorResulov, Mahir
dc.contributor.authorResulov, Mahir
dc.contributor.authorŞahin, Ethem İlhan
dc.date.accessioned2026-01-31T14:59:26Z
dc.date.available2026-01-31T14:59:26Z
dc.date.issued2012
dc.departmentİstanbul Beykent Üniversitesi
dc.description.abstractMakalede sabit katsayılı adi diferansiyel denklemler sistemi için yazılmış Cauchy probleminin rezidü metodu ile gerçek çözümü elde edilmiş ve söz konusu metot uygulanarak sabit gerilimli bir RC devre probleminin çözümünün bulunması için uygulanmıştır.
dc.description.abstractIn this paper, a method for obtaining an exact and numerical solution of the Cauchy and first type initial boundary value problems for a first order partial differential equation with a non convex state function is suggested. For this purpose, we introduce an auxiliary problem since it has some advantages over the main problem, and it is equivalent to the main problem in a definite sense. Using this auxiliary problem, we propose a efficient method for finding the location of shock which appears in the solution of main problem and its evolution in time. The suggested auxiliary problem permit also us to prove of convergence in mean of a numerical solution to the exact solution of the main problem. Moreover, using the auxiliary problem we can write the higher order numerical scheme with respect to the time variable. Some results of the comparison of the exact and numerical solutions are illustrated. 
dc.identifier.endpage181
dc.identifier.issn1307-3818
dc.identifier.issn1307-3826
dc.identifier.issue1-2
dc.identifier.startpage155
dc.identifier.urihttps://hdl.handle.net/20.500.12662/10334
dc.identifier.volume5
dc.language.isoen
dc.publisherBeykent Üniversitesi
dc.publisherBeykent University
dc.relation.ispartofBeykent University Journal of Science and Engineering
dc.relation.ispartofBeykent Üniversitesi Fen ve Mühendislik Bilimleri Dergisi
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_DergiPark_20260128
dc.subjectEngineering
dc.subjectMühendislik
dc.titleENTROPY SOLUTION OF A FIRST ORDER HYPERBOLIC TYPE EQUATIONS WITH A NON-CONVEX STATE FUNCTION IN A CLASS OF DISCONTINUOUS FUNCTIONS
dc.title.alternativeENTROPY SOLUTION OF A FIRST ORDER HYPERBOLIC TYPE EQUATIONS WITH A NON-CONVEX STATE FUNCTION IN A CLASS OF DISCONTINUOUS FUNCTIONS
dc.typeArticle

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