Generalized Laguerre-Gauss-Radau scheme for first order hyperbolic equations on semi-infinite domains
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.department | Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü | en_US |
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. | en_US |
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. | en_US |
dc.identifier.endpage | 934 | en_US |
dc.identifier.issn | 1221-146X | |
dc.identifier.issue | 7-8 | en_US |
dc.identifier.startpage | 918 | en_US |
dc.identifier.uri | http://hdl.handle.net/20.500.12416/1554 | |
dc.identifier.volume | 60 | en_US |
dc.language.iso | en | en_US |
dc.publisher | Editura Academiei Romane | en_US |
dc.relation.ispartof | Romanian Journal of Physics | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | First-Order Hyperbolic Equations | en_US |
dc.subject | Two-Dimensional Hyperbolic Equations | en_US |
dc.subject | Collocation Method | en_US |
dc.subject | Generalized Laguerre-Gauss-Radau Quadrature | en_US |
dc.title | Generalized Laguerre-Gauss-Radau scheme for first order hyperbolic equations on semi-infinite domains | tr_TR |
dc.title | Generalized Laguerre-Gauss Scheme for First Order Hyperbolic Equations on Semi-Infinite Domains | en_US |
dc.type | Article | en_US |
dspace.entity.type | Publication |