A Crank-Nicolson Approximation for the time Fractional Burgers Equation
Küçük Resim Yok
Tarih
2020
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Walter De Gruyter Gmbh
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In the present manuscript, Crank Nicolson finite difference method is going to be applied to get the approximate solutions for the fractional Burgers equation. The fractional derivative used in this equation is going to be taken into consideration in the Caputo sense. The L1 type discretization formula is going to be applied to this equation. For checking the efficiency of proposed methods, the error norms L-2 and L-infinity have at the same time been calculated. Those newly got solutions using the presented method illustrate the easy usage and efficiency of the approach presented in this manuscript.
Açıklama
Anahtar Kelimeler
Fractional order derivatives, Crank Nicolson Finite Difference methods, Fractional Burgers equation
Kaynak
Applied Mathematics and Nonlinear Sciences
WoS Q Değeri
N/A
Scopus Q Değeri
Q1
Cilt
5
Sayı
2
