Generalized Laguerre-Gauss-Radau scheme for first order hyperbolic equations on semi-infinite domains
| dc.authorid | Alzahrani, Ebraheem/0000-0003-2413-0355 | |
| dc.authorid | Hafez, Ramy/0000-0001-9533-3171 | |
| dc.authorscopusid | 14319102000 | |
| dc.authorscopusid | 36859215200 | |
| dc.authorscopusid | 44460949100 | |
| dc.authorscopusid | 7005872966 | |
| dc.authorscopusid | 56708838000 | |
| dc.authorwosid | Hafez, Ramy/Aaa-5936-2020 | |
| dc.authorwosid | Baleanu, Dumitru/B-9936-2012 | |
| dc.authorwosid | Al-Zahrani, Abdulrahim/Aaw-5465-2020 | |
| dc.authorwosid | Bhrawy, Ali/D-4745-2012 | |
| dc.authorwosid | Alzahrani, Ebraheem/C-3781-2012 | |
| dc.contributor.author | Bhrawy, A. H. | |
| dc.contributor.author | Hafez, R. M. | |
| dc.contributor.author | Alzahrani, E. O. | |
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.author | Alzahrani, A. A. | |
| dc.contributor.other | Matematik | |
| dc.date.accessioned | 2017-04-20T08:12:23Z | |
| dc.date.available | 2017-04-20T08:12:23Z | |
| dc.date.issued | 2015 | |
| dc.department | Çankaya University | en_US |
| dc.department-temp | [Bhrawy, A. H.; Alzahrani, E. O.] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia; [Bhrawy, A. H.] Beni Suef Univ, Fac Sci, Dept Math, Bani Suwayf 62511, Egypt; [Hafez, R. M.] Modern Acad, Inst Informat Technol, Dept Basic Sci, Cairo, Egypt; [Baleanu, D.] Cankaya Univ, Fac Arts & Sci, Dept Math & Comp Sci, Ankara, Turkey; [Baleanu, D.] Inst Space Sci, RO-077125 Magurele, Romania; [Alzahrani, A. A.] King Abdulaziz Univ, Fac Engn, Dept Chem & Mat Engn, Jeddah 21589, Saudi Arabia | en_US |
| dc.description | Alzahrani, Ebraheem/0000-0003-2413-0355; Hafez, Ramy/0000-0001-9533-3171 | 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.description.sponsorship | Deanship of Scientific Research (DSR) at King Abdulaziz University, Jeddah [14-135-35-RG] | en_US |
| dc.description.sponsorship | This project was funded by the Deanship of Scientific Research (DSR) at King Abdulaziz University, Jeddah, under grant no. (14-135-35-RG). The authors, therefore, acknowledge with thanks DSR technical and financial support. | en_US |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| 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.scopus | 2-s2.0-84941633855 | |
| dc.identifier.scopusquality | Q3 | |
| dc.identifier.startpage | 918 | en_US |
| dc.identifier.volume | 60 | en_US |
| dc.identifier.wos | WOS:000361859100004 | |
| dc.identifier.wosquality | Q3 | |
| dc.institutionauthor | Baleanu, Dumitru | |
| dc.language.iso | en | en_US |
| dc.publisher | Editura Acad Romane | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.scopus.citedbyCount | 14 | |
| 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 |
| dc.wos.citedbyCount | 12 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isAuthorOfPublication.latestForDiscovery | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isOrgUnitOfPublication | 26a93bcf-09b3-4631-937a-fe838199f6a5 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 26a93bcf-09b3-4631-937a-fe838199f6a5 |