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Complex Ginzburg–Landau Equation with Generalized Finite Differences

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dc.contributor.authorSalete Casino, Eduardo
dc.contributor.authorVargas Ureña, Antonio Manuel
dc.contributor.authorGarcía, Ángel
dc.contributor.authorNegreanu, Mihaela
dc.contributor.authorBenito Muñoz, Juan J.
dc.contributor.authorUreña, Francisco
dc.date.accessioned2025-01-07T11:46:41Z
dc.date.available2025-01-07T11:46:41Z
dc.date.issued2020-12-20
dc.descriptionLa versión registrada de este artículo, publicado por primera vez en Mathematics. 2020; 8(12):2248, está disponible en línea en el sitio web del editor: https://doi.org/10.3390/math8122248 The copyrighted version of this article, first published in Mathematics. 2020; 8(12):2248, is available online at the publisher's website: https://doi.org/10.3390/math8122248
dc.description.abstractIn this paper we obtain a novel implementation for irregular clouds of nodes of the meshless method called Generalized Finite Difference Method for solving the complex Ginzburg–Landau equation. We derive the explicit formulae for the spatial derivative and an explicit scheme by splitting the equation into a system of two parabolic PDEs. We prove the conditional convergence of the numerical scheme towards the continuous solution under certain assumptions. We obtain a second order approximation as it is clear from the numerical results. Finally, we provide several examples of its application over irregular domains in order to test the accuracy of the explicit scheme, as well as comparison with other numerical methods.en
dc.description.versionversión publicada
dc.identifier.citationSalete E, Vargas AM, García Á, Negreanu M, Benito JJ, Ureña F. Complex Ginzburg–Landau Equation with Generalized Finite Differences. Mathematics. 2020; 8(12):2248. https://doi.org/10.3390/math8122248
dc.identifier.doihttps://doi.org/10.3390/math8122248
dc.identifier.issn2227-7390
dc.identifier.urihttps://hdl.handle.net/20.500.14468/25119
dc.journal.issue12
dc.journal.titleMathematics
dc.journal.volume8
dc.language.isoen
dc.publisherMDPI
dc.relation.centerFacultades y escuelas::E.T.S. de Ingenieros Industriales
dc.relation.departmentIngeniería de Construcción y Fabricación
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/deed.es
dc.subject33 Ciencias Tecnológicas::3310 Tecnología industrial
dc.subject.keywordsGinzburg–Landau equationen
dc.subject.keywordsparabolic-parabolic systemsen
dc.subject.keywordsgeneralized finite difference methoden
dc.titleComplex Ginzburg–Landau Equation with Generalized Finite Differencesen
dc.typeartículoes
dc.typejournal articleen
dspace.entity.typePublication
relation.isAuthorOfPublication86523637-0995-45f4-81c6-3440ed55bb88
relation.isAuthorOfPublication6d700201-394b-4442-b0f1-dbe2a6703081
relation.isAuthorOfPublication13299822-df2d-4601-91fe-82bc69ae16c4
relation.isAuthorOfPublication.latestForDiscovery86523637-0995-45f4-81c6-3440ed55bb88
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