Numerical solution of Cauchy problem for second order nonlinear wave equation with changeable type in a class of discontinues functions

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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 special numerical method for the solution of second order nonlinear wave equation with changeable type in a class of discontinues functions, which accurately describe the physical properties of the problem of interest is suggested. For this, first, an auxiliary problem having some advantages over the main problem is introduced. Since, the differentiable property of the solution of the auxiliary problem is twice higher than the differentiability of the solution of the main problem, the application of classical methods to the auxiliary problem can be easily performed. Some economic algorithms are proposed for obtaining a numerical solution of the auxiliary problem, and by using the solution of the auxiliary problem, the numerical solution of the main problem is also found. In order to show the effectiveness of the suggested algorithms some comparisons between the exact solution and the numerical solution are made. (C) 2002 Elsevier Inc. All rights reserved.en_US
dc.identifier.doi10.1016/S0096-3003(02)00736-1
dc.identifier.endpage437en_US
dc.identifier.issn0096-3003
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-0141961632en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage423en_US
dc.identifier.urihttps://doi.org/10.1016/S0096-3003(02)00736-1
dc.identifier.urihttps://hdl.handle.net/20.500.12662/4290
dc.identifier.volume147en_US
dc.identifier.wosWOS:000186215600011en_US
dc.identifier.wosqualityQ1en_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.subjectnonlinear wave propagationen_US
dc.subjecttransconic flowen_US
dc.subjectnumerical modelingen_US
dc.subjectshock wavesen_US
dc.titleNumerical solution of Cauchy problem for second order nonlinear wave equation with changeable type in a class of discontinues functionsen_US
dc.typeArticleen_US

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