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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
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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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