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dc.contributor.authorPourgholi, Rezaen_US
dc.contributor.authorMazraeh, Hassan Danaen_US
dc.contributor.authorHoulari, Taherehen_US
dc.date.accessioned2020-10-09T12:19:40Z
dc.date.available2020-10-09T12:19:40Z
dc.date.issued2017
dc.identifier.citationPourgholi, R., Mazraeh, H. D. & Houlari, T. (2017). Combining genetic algorithm and Sinc-Galerkin method for solving an inverse diffusion problem. TWMS Journal of Applied and Engineering Mathematics, 7(1), 33-50.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttps://hdl.handle.net/11729/2609
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/93-vol7no1/276
dc.description.abstractA numerical approach combining the use of a genetic algorithm with the solution of the Sinc-Galerkin method is proposed for the determination of an unknown time-dependent diffusivity a(t) in an inverse diffusion problem (IDP). At the beginning of the numerical algorithm, Sinc-Galerkin method is employed to solve the direct diffusion problem. The present approach is to rearrange the matrix forms of the governing equations. Then, the genetic algorithm is adopted to find the solution of IDP. The genetic algorithm used in this work is not a classical genetic algorithm. Instead, the application of the genetic algorithm to this discrete-time optimal control problem is called a real-valued genetic algorithm(RVGA). Some numerical experiments confirm the utility of this algorithm as the results are in good agreement with the exact data. Results Show that a reasonable estimation can be obtained by combining the genetic algorithm and Sinc-Galerkin method within a CPU with clock speed 2.7 GHz.en_US
dc.language.isoenen_US
dc.publisherIşık University Pressen_US
dc.relation.ispartofTWMS Journal of Applied and Engineering Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectInverse diffusion problemen_US
dc.subjectGenetic algorithmen_US
dc.subjectSinc-Galerkin methoden_US
dc.subjectGeneralized cross-validationen_US
dc.subjectEquation subjecten_US
dc.subjectNumerical-methoden_US
dc.subjectSpecificationen_US
dc.titleCombining genetic algorithm and Sinc-Galerkin method for solving an inverse diffusion problemen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume7
dc.identifier.issue1
dc.identifier.startpage33
dc.identifier.endpage50
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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