A Spectral Legendre-Gauss Collocation Method for A Space-Fractional Advection Diffusion Equations With Variable Coefficients
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.author | Bhrawy, A. H. | |
| dc.date.accessioned | 2020-05-06T06:43:51Z | |
| dc.date.accessioned | 2025-09-18T12:06:21Z | |
| dc.date.available | 2020-05-06T06:43:51Z | |
| dc.date.available | 2025-09-18T12:06:21Z | |
| dc.date.issued | 2013 | |
| 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.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.issn | 0034-4877 | |
| dc.identifier.scopus | 2-s2.0-84893626620 | |
| dc.identifier.uri | https://doi.org/10.1016/S0034-4877(14)60015-X | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10866 | |
| dc.language.iso | en | en_US |
| dc.publisher | Pergamon-elsevier Science Ltd | en_US |
| dc.relation.ispartof | Reports on Mathematical Physics | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| 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 Collocation Method for A Space-Fractional Advection Diffusion Equations With Variable Coefficients | en_US |
| dc.title | A Spectral Legendre-Gauss-Lobatto Collocation Method for A Space-Fractional Advection Diffusion Equations With Variable Coefficients | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.scopusid | 14319102000 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Bhrawy, Ali/D-4745-2012 | |
| gdc.author.yokid | 56389 | |
| gdc.bip.impulseclass | C4 | |
| gdc.bip.influenceclass | C4 | |
| gdc.bip.popularityclass | C4 | |
| gdc.coar.access | metadata only access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.collaboration.industrial | false | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [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 |
| gdc.description.endpage | 233 | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 219 | en_US |
| gdc.description.volume | 72 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q3 | |
| gdc.identifier.openalex | W2034221093 | |
| gdc.identifier.wos | WOS:000327568700006 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.impulse | 24.0 | |
| gdc.oaire.influence | 6.905293E-9 | |
| gdc.oaire.isgreen | false | |
| gdc.oaire.keywords | Method of lines for initial value and initial-boundary value problems involving PDEs | |
| gdc.oaire.keywords | Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations | |
| gdc.oaire.keywords | Legendre-Gauss-Lobatto quadrature | |
| gdc.oaire.keywords | numerical examples | |
| gdc.oaire.keywords | collocation | |
| gdc.oaire.keywords | Reaction-diffusion equations | |
| gdc.oaire.keywords | implicit Runge-Kutta method | |
| gdc.oaire.keywords | spectral method | |
| gdc.oaire.keywords | Fractional partial differential equations | |
| gdc.oaire.keywords | Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs | |
| gdc.oaire.keywords | space-fractional advection diffusion equation | |
| gdc.oaire.popularity | 1.26494415E-8 | |
| gdc.oaire.publicfunded | false | |
| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.oaire.sciencefields | 01 natural sciences | |
| gdc.openalex.collaboration | International | |
| gdc.openalex.fwci | 8.1007 | |
| gdc.openalex.normalizedpercentile | 0.98 | |
| gdc.openalex.toppercent | TOP 10% | |
| gdc.opencitations.count | 73 | |
| gdc.plumx.crossrefcites | 40 | |
| gdc.plumx.mendeley | 18 | |
| gdc.plumx.scopuscites | 86 | |
| gdc.scopus.citedcount | 93 | |
| gdc.virtual.author | Baleanu, Dumitru | |
| gdc.wos.citedcount | 88 | |
| relation.isAuthorOfPublication | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isAuthorOfPublication.latestForDiscovery | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isOrgUnitOfPublication | 26a93bcf-09b3-4631-937a-fe838199f6a5 | |
| relation.isOrgUnitOfPublication | 28fb8edb-0579-4584-a2d4-f5064116924a | |
| relation.isOrgUnitOfPublication | 0b9123e4-4136-493b-9ffd-be856af2cdb1 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 26a93bcf-09b3-4631-937a-fe838199f6a5 |