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

dc.contributor.authorBhrawy, A. H.
dc.contributor.authorHafez, R. M.
dc.contributor.authorAlzahrani, Ebraheem
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorAlzahrani, A. A.
dc.date.accessioned2017-04-20T08:12:23Z
dc.date.available2017-04-20T08:12:23Z
dc.date.issued2015
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümüen_US
dc.description.abstractIn 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.en_US
dc.identifier.citationBhrawy, 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.en_US
dc.identifier.endpage934en_US
dc.identifier.issn1221-146X
dc.identifier.issue7-8en_US
dc.identifier.startpage918en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/1554
dc.identifier.volume60en_US
dc.language.isoenen_US
dc.publisherEditura Academiei Romaneen_US
dc.relation.ispartofRomanian Journal of Physicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFirst-Order Hyperbolic Equationsen_US
dc.subjectTwo-Dimensional Hyperbolic Equationsen_US
dc.subjectCollocation Methoden_US
dc.subjectGeneralized Laguerre-Gauss-Radau Quadratureen_US
dc.titleGeneralized Laguerre-Gauss-Radau scheme for first order hyperbolic equations on semi-infinite domainstr_TR
dc.titleGeneralized Laguerre-Gauss Scheme for First Order Hyperbolic Equations on Semi-Infinite Domainsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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