Numerical analysis of the fractal-fractional diffusion model of ignition in the combustion process

Basit Öğe Kaydı
dc.authoridHassan deif, Ahmed/0009-0002-7989-0466
dc.authoridHassan, Ahmed/0000-0002-1369-326X
dc.contributor.authorPartohaghighi, Mohammad
dc.contributor.authorMortezaee, Marzieh
dc.contributor.authorAkguel, Ali
dc.contributor.authorHassan, Ahmed M.
dc.contributor.authorSakar, Necibullah
dc.date.accessioned2024-12-24T19:25:19Z
dc.date.available2024-12-24T19:25:19Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractThe study employs the fractal-fractional operator to derive a distinct variant of the fractal-fractional diffusion equation. To address this challenge, a novel operational matrix technique (OM) is introduced, utilizing shifted Chebyshev cardinal functions (CCFs). Additionally, fundamental functions are employed to establish an OM tailored to the specific derivative in question. Through the application of these operational matrix techniques, the core equation is transformed into an algebraic system, paving the way for the resolution of the presented issue. The study showcases graphical representations of both exact and approximated solutions, accompanied by corresponding error graphs. Furthermore, comprehensive tables present the values of solutions and errors across various examples. For each test case, a comparative analysis of solutions at specific time points is also presented.
dc.identifier.doi10.1016/j.aej.2023.11.038
dc.identifier.endpage8
dc.identifier.issn1110-0168
dc.identifier.issn2090-2670
dc.identifier.scopus2-s2.0-85177839482
dc.identifier.scopusqualityQ1
dc.identifier.startpage1
dc.identifier.urihttps://doi.org/10.1016/j.aej.2023.11.038
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6339
dc.identifier.volume86
dc.identifier.wosWOS:001125129300001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofAlexandria Engineering Journal
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectFractional diffusion equation
dc.subjectChebyshev cardinal functions
dc.subjectIgnition
dc.subjectFractal-fractional operator
dc.subjectOperational matrix
dc.titleNumerical analysis of the fractal-fractional diffusion model of ignition in the combustion process
dc.typeArticle

Dosyalar

Koleksiyon

WOS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu