Direct versus iterative methods for forward-backward diffusion equations. Numerical comparisons

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Matemática Aplicada
dc.contributor.authorLópez Pouso, Óscar
dc.contributor.authorJumaniyazov, Nizomjon
dc.date.accessioned2024-12-20T08:58:12Z
dc.date.available2024-12-20T08:58:12Z
dc.date.issued2021-01-06
dc.descriptionThis version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: https://doi.org/10.1007/s40324-020-00236-9
dc.description.abstractBy far, the standard implementation of finite difference schemes for forward–backward partial differential equations consists in employing an iterative method. This paper collects a series of numerical results which demonstrate that a direct implementation can reduce the computing time. An effective way of choosing the seed for the iterative method naturally arises.
dc.description.peerreviewedSI
dc.description.sponsorshipThis work was co-financed by the European Regional Development Fund (ERDF) and the Xunta de Galicia under the GRC2013-014 grant, and by the Spanish Ministry of Science, Innovation and Universities under the MTM2017-86459-R grant.
dc.identifier.citationLópez Pouso, Ó., & Jumaniyazov, N. (2021). Direct versus iterative methods for forward-backward diffusion equations. Numerical comparisons. SeMA Journal, 78(3), 271-286. https://doi.org/10.1007/S40324-020-00236-9
dc.identifier.doi10.1007/s40324-020-00236-9
dc.identifier.issn2281-7875
dc.identifier.urihttps://hdl.handle.net/10347/38253
dc.issue.number3
dc.journal.titleSeMA Journal
dc.language.isoeng
dc.page.final286
dc.page.initial271
dc.publisherSpringer
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-86459-R/ES/APLICACIONES DE LA MODELIZACION, LA SIMULACION NUMERICA, LA OPTIMIZACION Y EL CONTROL OPTIMO AL DISEÑO DE DISPOSITIVOS Y PROCESOS INDUSTRIALES/
dc.relation.publisherversionhttps://doi.org/10.1007/s40324-020-00236-9
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internationalen
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectForward–backward partial differential equation
dc.subjectTwo-way partial differential equation
dc.subjectFinite difference method
dc.subjectFokker–Planck equation
dc.subjectDirect method
dc.subjectIterative method
dc.titleDirect versus iterative methods for forward-backward diffusion equations. Numerical comparisons
dc.typejournal article
dc.type.hasVersionAM
dc.volume.number78
dspace.entity.typePublication
relation.isAuthorOfPublication4c1cc53c-ed78-438f-9b41-716b1eabc09b
relation.isAuthorOfPublication.latestForDiscovery4c1cc53c-ed78-438f-9b41-716b1eabc09b

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