Numerical analysis of the fractal-fractional diffusion model of ignition in the combustion process
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Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The 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.
Açıklama
Anahtar Kelimeler
Fractional diffusion equation, Chebyshev cardinal functions, Ignition, Fractal-fractional operator, Operational matrix
Kaynak
Alexandria Engineering Journal
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
86
