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.authorSahin, Ethem Ilhan
dc.date.accessioned2015-04-03T13:58:49Z
dc.date.available2015-04-03T13:58:49Z
dc.date.issued2012
dc.departmentİstanbul Beykent Üniversitesien_US
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.en_US
dc.identifier.citationBEYKENT UNIVERSITY JOURNAL OF SCIENCE AND ENGINEERING Volume 5(1-2), 2012, 155-181tr_TR
dc.identifier.issn1307-3818
dc.language.isoenen_US
dc.publisherBeykent Üniversitesitr_TR
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.subjectRiemann's and Buckley-Leverett's problemstr_TR
dc.subjectnon-convex state functiontr_TR
dc.subjectconvex and concave hulltr_TR
dc.subjectnumerical solution in a class of discontinuous functionstr_TR
dc.titleEntropy Solution of a First Order Hyperbolic Type Equations with a Non-Convex State Function in a Class Of Discontinuous Functionsen_US
dc.typeArticleen_US

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