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Solving the time-fractional diffusion equation using a lie group integrator

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dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorParto-Haghighi, Mohammad
dc.contributor.authorDarvishi, Elham
dc.date.accessioned2017-03-29T11:25:20Z
dc.date.available2017-03-29T11:25:20Z
dc.date.issued2015
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümüen_US
dc.description.abstractIn this paper, we propose a numerical method to approximate the solutions of time fractional diffusion equation which is in the class of Lie group integrators. Our utilized method, namely fictitious time integration method transforms the unknown dependent variable to a new variable with one dimension more. Then the group preserving scheme is used to integrate the new fractional partial differential equations in the augmented space R3+1. Effectiveness and validity of method demonstrated using two examples.en_US
dc.identifier.citationHashemi, M.S...et al. (2015). Solving the time-fractional diffusion equation using a lie group integrator. Thermal Science, 19, (77-83). http://dx.doi.org/10.2298/TSCI15S1S77Hen_US
dc.identifier.doi10.2298/TSCI15S1S77H
dc.identifier.endpage83en_US
dc.identifier.issn0354-9836
dc.identifier.startpage77en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12416/1515
dc.identifier.volume19en_US
dc.language.isoenen_US
dc.publisherVinca Inst Nuclear Scien_US
dc.relation.ispartofThermal Scienceen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectTime Fractional Diffusion Equationen_US
dc.subjectFictitious Time Integration Methoden_US
dc.subjectCaputo Fractional Derivativeen_US
dc.subjectGroup-Preserving Schemeen_US
dc.titleSolving the time-fractional diffusion equation using a lie group integratortr_TR
dc.titleSolving the Time-Fractional Diffusion Equation Using a Lie Group Integratoren_US
dc.typeArticleen_US
dspace.entity.typePublication
relation.isAuthorOfPublicationf4fffe56-21da-4879-94f9-c55e12e4ff62
relation.isAuthorOfPublication.latestForDiscoveryf4fffe56-21da-4879-94f9-c55e12e4ff62

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