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Analysis Of Fractional Non-Linear Diffusion Behaviors Based On Adomian Polynomials

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dc.authoridWu, Guo-Cheng/0000-0002-1946-6770
dc.authorscopusid23390775700
dc.authorscopusid7005872966
dc.authorscopusid55734665000
dc.authorwosidBaleanu, Dumitru/B-9936-2012
dc.authorwosidWu, Guo-Cheng/T-9088-2017
dc.contributor.authorWu, Guo-Cheng
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorLuo, Wei-Hua
dc.contributor.authorID56389tr_TR
dc.date.accessioned2019-12-19T13:51:29Z
dc.date.available2019-12-19T13:51:29Z
dc.date.issued2017
dc.departmentÇankaya Universityen_US
dc.department-temp[Wu, Guo-Cheng; Luo, Wei-Hua] Neijiang Normal Univ, Coll Math & Informat Sci, Neijiang, Peoples R China; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romaniaen_US
dc.descriptionWu, Guo-Cheng/0000-0002-1946-6770en_US
dc.description.abstractA time-fractional non-linear diffusion equation of two orders is considered to investigate strong non-linearity through porous media. An equivalent integral equation is established and Adomian polynomials are adopted to linearize non-linear terms. With the Taylor expansion of fractional order, recurrence formulae are proposed and novel numerical solutions are obtained to depict the diffusion behaviors more accurately. The result shows that the method is suitable for numerical simulation of the fractional diffusion equations of multi-orders.en_US
dc.description.sponsorshipNSFC [11301257]; Scientific Research Fund of Sichuan Provincial Education Department [15ZA0288]en_US
dc.description.sponsorshipThe study was financially supported by the NSFC (Grant No. 11301257) and the Scientific Research Fund of Sichuan Provincial Education Department (No. 15ZA0288).en_US
dc.description.woscitationindexScience Citation Index Expanded
dc.identifier.citationWu, Guo-Cheng; Baleanu, Dumitru; Luo, Wei-Hua (2017). Analysis Of Fractional Non-Linear Diffusion Behaviors Based On Adomian Polynomials, Thermal Science, 21(2), 813-817.en_US
dc.identifier.doi10.2298/TSCI160416301W
dc.identifier.endpage817en_US
dc.identifier.issn0354-9836
dc.identifier.issn2334-7163
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85019728813
dc.identifier.scopusqualityQ3
dc.identifier.startpage813en_US
dc.identifier.urihttps://doi.org/10.2298/TSCI160416301W
dc.identifier.volume21en_US
dc.identifier.wosWOS:000400720200006
dc.identifier.wosqualityQ4
dc.language.isoenen_US
dc.publisherVinca inst Nuclear Scien_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFractional Calculusen_US
dc.subjectTwo Fractional Termsen_US
dc.subjectNumerical Solutionsen_US
dc.subjectAdomian Decomposition Methoden_US
dc.subjectTaylor Series Of Fractional Orderen_US
dc.titleAnalysis Of Fractional Non-Linear Diffusion Behaviors Based On Adomian Polynomialstr_TR
dc.titleAnalysis of Fractional Non-Linear Diffusion Behaviors Based on Adomian Polynomialsen_US
dc.typeArticleen_US
dspace.entity.typePublication
relation.isAuthorOfPublicationf4fffe56-21da-4879-94f9-c55e12e4ff62
relation.isAuthorOfPublication.latestForDiscoveryf4fffe56-21da-4879-94f9-c55e12e4ff62

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