Fractal-fractional Klein-Gordon equation: A numerical study
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Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this work, we solve a new kind of the fractional Klein-Gordon problem numerically. In fact, we study the mentioned problem under fractal-fractional operator with the Riemann-Liouville frame with Mittag-Leffler kernel. We use an efficient operational matrix (OM) technique employing the shifted Chebyshev cardinal functions (CCFs) to get the approximate solutions of the considered equation. Moreover, an OM for the considered derivative is gained using the basic functions. To get the approximate solutions of the presented equation we change the principal model into an algebraic system. To see the numerical results of the problem, we provide the related graphs of the exact and approximate solutions along with the absolute errors of each example. The accuracy and reliability of the numerical solutions can be found form the figures. Also, for each example Tables displaying the values of solutions and errors are reported.
Açıklama
Anahtar Kelimeler
Fractional Klein-Gordon equation, Fractal-fractional operator, Chebyshev cardinal functions, Operational matrix
Kaynak
Results in Physics
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
42
