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A Spectral Legendre-Gauss-Lobatto Collocation Method for A Space-Fractional Advection Diffusion Equations With Variable Coefficients

dc.contributor.authorBhrawy, A. H.
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2020-05-06T06:43:51Z
dc.date.available2020-05-06T06:43:51Z
dc.date.issued2013
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractAn 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 derivative. 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 high 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.citationBhrawy, 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.doi10.1016/S0034-4877(14)60015-X
dc.identifier.endpage233en_US
dc.identifier.issn344877
dc.identifier.issue2en_US
dc.identifier.startpage219en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/3635
dc.identifier.volume72en_US
dc.language.isoenen_US
dc.publisherElsevier LTD.en_US
dc.relation.ispartofReports an Mathematical Physicsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectImplicit Runge-Kutta Methoden_US
dc.subjectLegendre-Gauss-Lobatto Quadratureen_US
dc.subjectSpace-Fractional Advection Diffusion Equationen_US
dc.subjectSpectral Methoden_US
dc.titleA Spectral Legendre-Gauss-Lobatto Collocation Method for A Space-Fractional Advection Diffusion Equations With Variable Coefficientstr_TR
dc.titleA Spectral Legendre-Gauss Collocation Method for A Space-Fractional Advection Diffusion Equations With Variable Coefficientsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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