Non-Polynomial Collocation Spectral Scheme for Systems of Nonlinear Caputo-Hadamard Differential Equations

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dc.authoridZaky, Mahmoud/0000-0002-3376-7238
dc.authoridLopes, Antonio/0000-0001-7359-4370
dc.contributor.authorZaky, Mahmoud A.
dc.contributor.authorAmeen, Ibrahem G.
dc.contributor.authorBabatin, Mohammed
dc.contributor.authorAkgul, Ali
dc.contributor.authorHammad, Magda
dc.contributor.authorLopes, Antonio M.
dc.date.accessioned2024-12-24T19:33:36Z
dc.date.available2024-12-24T19:33:36Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this paper, we provide a collocation spectral scheme for systems of nonlinear Caputo-Hadamard differential equations. Since the Caputo-Hadamard operators contain logarithmic kernels, their solutions can not be well approximated using the usual spectral methods that are classical polynomial-based schemes. Hence, we construct a non-polynomial spectral collocation scheme, describe its effective implementation, and derive its convergence analysis in both L2 and L infinity. In addition, we provide numerical results to support our theoretical analysis.
dc.description.sponsorshipDeanship of Scientific Research at Imam Mohammad Ibn Saud Islamic University (IMSIU); [IMSIU-RP23095]
dc.description.sponsorshipThis work was supported and funded by the Deanship of Scientific Research at Imam Mohammad Ibn Saud Islamic University (IMSIU) (grant number IMSIU-RP23095).
dc.identifier.doi10.3390/fractalfract8050262
dc.identifier.issn2504-3110
dc.identifier.issue5
dc.identifier.scopus2-s2.0-85194244226
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/fractalfract8050262
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8217
dc.identifier.volume8
dc.identifier.wosWOS:001232215800001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofFractal and Fractional
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectorthogonal functions
dc.subjectspectral methods
dc.subjecterror analysis
dc.subjectCaputo-Hadamard derivative
dc.titleNon-Polynomial Collocation Spectral Scheme for Systems of Nonlinear Caputo-Hadamard Differential Equations
dc.typeArticle

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