A finite differences method for a two-dimensional nonlinear hyperbolic equation in a class of discontinuous functions

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dc.contributor.authorRasulov, M
dc.contributor.authorCoskun, E
dc.contributor.authorSinsoysal, B
dc.date.accessioned2024-03-13T10:35:10Z
dc.date.available2024-03-13T10:35:10Z
dc.date.issued2003
dc.departmentİstanbul Beykent Üniversitesien_US
dc.description.abstractA numerical scheme is proposed for a scalar two-dimensional nonlinear first-order wave equation with both continuous and piecewise continuous initial conditions. It is typical of such problems to assume formal solutions with discontinuities at unknown locations, which justifies the search for a scheme that does not rely on the regularity of the solution. To this end, an auxiliary problem which is equivalent to, but has more advantages then, the original system is formulated and shown that regularity of the solution of the auxiliary problem is higher than that of the original system. An efficient numerical algorithm based on the auxiliary problem is derived. Furthermore, some results of numerical experiments of physical interest are presented. (C) 2002 Elsevier Science Inc. All rights reserved.en_US
dc.identifier.doi10.1016/S0096-3003(02)00225-4
dc.identifier.endpage295en_US
dc.identifier.issn0096-3003
dc.identifier.issue2-3en_US
dc.identifier.scopus2-s2.0-0037431568en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage279en_US
dc.identifier.urihttps://doi.org/10.1016/S0096-3003(02)00225-4
dc.identifier.urihttps://hdl.handle.net/20.500.12662/4288
dc.identifier.volume140en_US
dc.identifier.wosWOS:000180606600009en_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.subjectshook wavesen_US
dc.subjectnumerical modelling in a class of discontinuous functionsen_US
dc.titleA finite differences method for a two-dimensional nonlinear hyperbolic equation in a class of discontinuous functionsen_US
dc.typeArticleen_US

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