NOVEL COMPARISON OF NUMERICAL AND ANALYTICAL METHODS FOR FRACTIONAL BURGER-FISHER EQUATION
Küçük Resim Yok
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Amer Inst Mathematical Sciences-Aims
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we investigate some analytical, numerical and ap-proximate analytical methods by considering time-fractional nonlinear Burger- Fisher equation (FBFE). (1/G')-expansion method, finite difference method (FDM) and Laplace perturbation method (LPM) are considered to solve the FBFE. Firstly, we obtain the analytical solution of the mentioned problem via (1/G')-expansion method. Also, we compare the numerical method solutions and point out which method is more effective and accurate. We study trun-cation error, convergence, Von Neumann's stability principle and analysis of linear stability of the FDM. Moreover, we investigate the L-2 and Loo norm errors for the FDM. According to the results of this study, it can be concluded that the finite difference method has a lower error level than the Laplace per-turbation method. Nonetheless, both of these methods are totally settlement in obtaining efficient results of fractional order differential equations.
Açıklama
Anahtar Kelimeler
Finite Difference Method, Laplace Perturbation Method, Linear Stability, Analytical Solution, Caputo Fractional Derivative, Nonlinear Time-Fractional Burger-Fisher Equation
Kaynak
Discrete And Continuous Dynamical Systems-Series S
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
14
Sayı
7
