On the Solution of Burgers' Equation with the New Fractional Derivative
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Tarih
2015
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Sciendo
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Firstly in this article, the exact solution of a time fractional Burgers' equation, where the derivative is conformable fractional derivative, with dirichlet and initial conditions is found by Hopf-Cole transform. Thereafter the approximate analytical solution of the time conformable fractional Burger's equation is determined by using a Homotopy Analysis Method(HAM). This solution involves an auxiliary parameter (h) over bar which we also determine. The numerical solution of Burgers' equation with the analytical solution obtained by using the Hopf-Cole transform is compared.
Açıklama
Anahtar Kelimeler
Hopf-Cole Transform, Time Fractional Burgers' Equation, Conformable Fractional Derivative, Time Fractional Heat Equation, Homotopy Analysis Method
Kaynak
Open Physics
WoS Q Değeri
Q4
Scopus Q Değeri
Q2
Cilt
13
Sayı
1
