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Generalized Laguerre-Gauss-Radau scheme for first order hyperbolic equations on semi-infinite domains

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dc.contributor.author Bhrawy, A. H.
dc.contributor.author Hafez, R. M.
dc.contributor.author Alzahrani, Ebraheem
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Alzahrani, A. A.
dc.date.accessioned 2017-04-20T08:12:23Z
dc.date.available 2017-04-20T08:12:23Z
dc.date.issued 2015
dc.identifier.citation Bhrawy, A.H...et al. (2015). Generalized Laguerre-Gauss-Radau scheme for first order hyperbolic equations on semi-infinite domains. Romanian Journal of Physics, 60(7-8), 918-934. tr_TR
dc.identifier.issn 1221-146X
dc.identifier.uri http://hdl.handle.net/20.500.12416/1554
dc.description.abstract In this article, we develop a numerical approximation for first-order hyperbolic equations on semi-infinite domains by using a spectral collocation scheme. First, we propose the generalized Laguerre-Gauss-Radau collocation scheme for both spatial and temporal discretizations. This in turn reduces the problem to the obtaining of a system of algebraic equations. Second, we use a Newton iteration technique to solve it. Finally, the obtained results are compared with the exact solutions, highlighting the performance of the proposed numerical method. tr_TR
dc.language.iso eng tr_TR
dc.publisher Editura Academiei Romane tr_TR
dc.rights info:eu-repo/semantics/openAccess
dc.subject First-Order Hyperbolic Equations tr_TR
dc.subject Two-Dimensional Hyperbolic Equations tr_TR
dc.subject Collocation Method tr_TR
dc.subject Generalized Laguerre-Gauss-Radau Quadrature tr_TR
dc.title Generalized Laguerre-Gauss-Radau scheme for first order hyperbolic equations on semi-infinite domains tr_TR
dc.type article tr_TR
dc.relation.journal Romanian Journal of Physics tr_TR
dc.identifier.volume 60 tr_TR
dc.identifier.issue 7-8 tr_TR
dc.identifier.startpage 918 tr_TR
dc.identifier.endpage 934 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü tr_TR


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