Response Matrix/Discrete Ordinates Solution of the 1D Fokker-Planck Equation

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Matemática Aplicada
dc.contributor.authorGanapol, Barry D.
dc.contributor.authorLópez Pouso, Óscar
dc.date.accessioned2024-12-30T12:56:40Z
dc.date.available2024-12-30T12:56:40Z
dc.date.issued2023-06-01
dc.descriptionThis is an Accepted Manuscript of an article published by Taylor & Francis in Nuclear Science and Engineering on 1 Jun 2023, available at: https://doi.org/10.1080/00295639.2023.2194228
dc.description.abstractThe Fokker-Planck equation (FPE) is one of the quintessential equations of particle transport theory. Representing small angle scattering characteristics of electron and photon transport by differential scattering indeed is a mathematical/numerical challenge. Here, we address the challenge with the method of response matrix applied to the Sn approximation to arrive at a nearly six-place-precision benchmark. Our approach aligns with the response matrix solution of the radiative transfer equation for anisotropic scattering published previously. We conclude with the comparison of the response matrix benchmark to a classical finite difference approximation.
dc.description.peerreviewedSI
dc.description.sponsorshipOLP acknowledges support from Ministerio de Ciencia e Innovación, project PID2021-122625OB-I00 with funds from MCIN/AEI/10.13039/501100011033/ FEDER, UE, and from the Xunta de Galicia (2021 GRC Gl-1563 - ED431C 2021/15). Both authors acknowledge one of the reviewers for their insightful review and for significantly improving our paper.
dc.identifier.citationGanapol, & López Pouso, Ó. (2023). Response Matrix/Discrete Ordinates Solution of the 1D Fokker-Planck Equation. Nuclear Science and Engineering, 197(9), 2327-2342. https://doi.org/10.1080/00295639.2023.2194228
dc.identifier.doi10.1080/00295639.2023.2194228
dc.identifier.issn1943-748X
dc.identifier.urihttps://hdl.handle.net/10347/38304
dc.issue.number9
dc.journal.titleNuclear Science and Engineering
dc.language.isoeng
dc.page.final2342
dc.page.initial2327
dc.publisherTaylor & Francis
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PID2021-122625OB-I00/ES/MODELADO, SIMULACION, OPTIMIZACION Y CONTROL. APLICACIONES EN CIENCIA E INDUSTRIA/
dc.relation.publisherversionhttps://doi.org/10.1080/00295639.2023.2194228
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internationalen
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectFokker-Planck equation
dc.subjectResponse matrix
dc.subjectMatrix exponential
dc.titleResponse Matrix/Discrete Ordinates Solution of the 1D Fokker-Planck Equation
dc.typejournal article
dc.type.hasVersionAM
dc.volume.number197
dspace.entity.typePublication
relation.isAuthorOfPublication4c1cc53c-ed78-438f-9b41-716b1eabc09b
relation.isAuthorOfPublication.latestForDiscovery4c1cc53c-ed78-438f-9b41-716b1eabc09b

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