A Spectral Legendre-Gauss-Lobatto Collocation Method for A Space-Fractional Advection Diffusion Equations With Variable Coefficients
dc.authorscopusid | 14319102000 | |
dc.authorscopusid | 7005872966 | |
dc.authorwosid | Baleanu, Dumitru/B-9936-2012 | |
dc.authorwosid | Bhrawy, Ali/D-4745-2012 | |
dc.contributor.author | Bhrawy, A. H. | |
dc.contributor.author | Baleanu, D. | |
dc.contributor.authorID | 56389 | tr_TR |
dc.contributor.other | Matematik | |
dc.date.accessioned | 2020-05-06T06:43:51Z | |
dc.date.available | 2020-05-06T06:43:51Z | |
dc.date.issued | 2013 | |
dc.department | Çankaya University | en_US |
dc.department-temp | [Bhrawy, A. H.] 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; [Baleanu, D.] King Abdulaziz Univ, Fac Engn, Dept Chem & Mat Engn, Jeddah 21589, Saudi Arabia; [Baleanu, D.] Cankaya Univ, Dept Math & Comp Sci, TR-06810 Ankara, Turkey; [Baleanu, D.] Inst Space Sci, R-76900 Magurele, Romania | en_US |
dc.description.abstract | An efficient Legendre-Gauss-Lobatto collocation (L-GL-C) method is applied to solve the space-fractional advection diffusion equation with nonhomogeneous initial-boundary conditions. The Legendre-Gauss-Lobatto points are used as collocation nodes for spatial fractional derivatives as well as the Caputo fractional derivatiye. This approach is reducing the problem to the solution of a system of ordinary differential equations in time which can be solved by using any standard numerical techniques. The proposed numerical solutions when compared with the exact solutions reveal that the obtained solution produces highly accurate results. The results show that the proposed method has high accuracy and is efficient for solving the space-fractional advection diffusion equation. | en_US |
dc.description.woscitationindex | Science Citation Index Expanded | |
dc.identifier.citation | Bhrawy, A.H.; Baleanu, D.,"A Spectral Legendre-Gauss-Lobatto Collocation Method for A Space-Fractional Advection Diffusion Equations With Variable Coefficients", Reports an Mathematical Physics, Vol. 72, No. 2, pp. 219-233, (2013). | en_US |
dc.identifier.doi | 10.1016/S0034-4877(14)60015-X | |
dc.identifier.endpage | 233 | en_US |
dc.identifier.issn | 0034-4877 | |
dc.identifier.issue | 2 | en_US |
dc.identifier.scopus | 2-s2.0-84893626620 | |
dc.identifier.scopusquality | Q3 | |
dc.identifier.startpage | 219 | en_US |
dc.identifier.uri | https://doi.org/10.1016/S0034-4877(14)60015-X | |
dc.identifier.volume | 72 | en_US |
dc.identifier.wos | WOS:000327568700006 | |
dc.identifier.wosquality | Q4 | |
dc.institutionauthor | Baleanu, Dumitru | |
dc.language.iso | en | en_US |
dc.publisher | Pergamon-elsevier Science Ltd | 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 | 90 | |
dc.subject | Space-Fractional Advection Diffusion Equation | en_US |
dc.subject | Spectral Method | en_US |
dc.subject | Legendre-Gauss-Lobatto Quadrature | en_US |
dc.subject | Implicit Runge-Kutta Method | en_US |
dc.title | A Spectral Legendre-Gauss-Lobatto Collocation Method for A Space-Fractional Advection Diffusion Equations With Variable Coefficients | tr_TR |
dc.title | A Spectral Legendre-Gauss Collocation Method for A Space-Fractional Advection Diffusion Equations With Variable Coefficients | en_US |
dc.type | Article | en_US |
dc.wos.citedbyCount | 85 | |
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 |
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