Numerical discretization for Fisher-Kolmogorov problem with nonlocal diffusion based on mixed Galerkin BDF2 scheme

Basit Öğe Kaydı
dc.contributor.authorManimaran, J.
dc.contributor.authorShangerganesh, L.
dc.contributor.authorZaky, M.A.
dc.contributor.authorAkgül, A.
dc.contributor.authorHendy, A.S.
dc.date.accessioned2024-12-24T19:09:50Z
dc.date.available2024-12-24T19:09:50Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractNonlocal problems involving fourth-order terms pose several difficulties such as numerical discretization and its related convergences analysis. In this paper, the well-posedness of the extended Fisher-Kolmogorov equation with nonlocal diffusion is first analyzed using the Faedo-Galerkin technique and the classical compactness arguments. Moreover, we adopt a BDF2 scheme for time discretization and a mixed Galerkin scheme for spatial discretization. Then, we derive the optimal order convergence rates of the fully discrete system. Finally, some numerical simulations and convergence results are provided to confirm the theoretical results and the accuracy of the proposed scheme. © 2024 IMACS
dc.description.sponsorshipDeanship of Scientific Research, Imam Mohammed Ibn Saud Islamic University, (IMSIU-RP23095); Deanship of Scientific Research, Imam Mohammed Ibn Saud Islamic University
dc.identifier.doi10.1016/j.apnum.2024.02.018
dc.identifier.endpage158
dc.identifier.issn0168-9274
dc.identifier.scopus2-s2.0-85186721460
dc.identifier.scopusqualityQ1
dc.identifier.startpage145
dc.identifier.urihttps://doi.org10.1016/j.apnum.2024.02.018
dc.identifier.urihttps://hdl.handle.net/20.500.12604/3805
dc.identifier.volume201
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier B.V.
dc.relation.ispartofApplied Numerical Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectBDF2 scheme
dc.subjectExtended Fisher-Kolmogorov equation
dc.subjectFinite element Galerkin method
dc.subjectNonlocal diffusion
dc.titleNumerical discretization for Fisher-Kolmogorov problem with nonlocal diffusion based on mixed Galerkin BDF2 scheme
dc.typeArticle

Dosyalar

Koleksiyon

Scopus İndeksli Yayınlar Koleksiyonu