Grid method for solution of 2D Riemann type problem with two discontinuities having an initial condition

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dc.contributor.authorSinsoysal, B.
dc.contributor.authorRasulov, M.
dc.contributor.authorYener, O.
dc.date.accessioned2024-03-13T10:33:12Z
dc.date.available2024-03-13T10:33:12Z
dc.date.issued2021
dc.departmentİstanbul Beykent Üniversitesien_US
dc.description.abstractThis study aims to obtain the numerical solution of the Cauchy problem for 2D conservation law equation with one arbitrary discontinuity having an initial profile. For this aim, a special auxiliary problem allowing to construct a sensitive method is developed in order to get a weak solution of the main problem. Proposed auxiliary problem also permits us to find entropy condition which guarantees uniqueness of the solution for the auxiliary problem. To compare the numerical solution with the exact solution theoretical structure of the problem under consideration is examined, and then the interplay of shock and rarefaction waves is investigated.en_US
dc.identifier.doi10.31489/2021M2/115-128
dc.identifier.endpage128en_US
dc.identifier.issn2518-7929
dc.identifier.issue2en_US
dc.identifier.startpage115en_US
dc.identifier.urihttps://doi.org/10.31489/2021M2/115-128
dc.identifier.urihttps://hdl.handle.net/20.500.12662/3832
dc.identifier.volume102en_US
dc.identifier.wosWOS:000734937800014en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherKaraganda State Univen_US
dc.relation.ispartofBulletin Of The Karaganda University-Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subject2D nonlinear scalar conservation lawen_US
dc.subjectRiemann problemen_US
dc.subjectfinite differences scheme in a class of discontinuous functionsen_US
dc.titleGrid method for solution of 2D Riemann type problem with two discontinuities having an initial conditionen_US
dc.typeArticleen_US

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