A hybrid approach for non-linear fractional Newell-Whitehead-Segel model
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Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this article, we applied the Shehu transform decomposition method (STDM) to obtain the approximate solution of the nonlinear fractional Newell-Whitehead-Segel equation that arises in various physical phenomena, such as fluid mechanics, solid -state physics, optics, plasma physics, dispersion, and chemical kinetics. The fractional NWS model is associated with the temperature and thermal convection of fluid dynamics, aiding in describing the formulation process on liquid surfaces restricted along a horizontally well-conducting boundary. To minimize computing complexity and intricacy, we utilized the proposed method, which combines the Shehu transform and the Adomian decomposition method, to solve the presented model. The results obtained by implementing the suggested method confirm that the solution approaches closer to the exact solution as the value tends from fractional order towards integer order. Moreover, the proposed method is interesting, easy, and highly accurate in solving various nonlinear fractional-order partial differential equations. The numerical results and their graphical simulations are presented using MATLAB.
Açıklama
Anahtar Kelimeler
Non-linear Newell-Whitehead-Segel model, Adomain decomposition technique, Shehu transform, Caputo derivative
Kaynak
Ain Shams Engineering Journal
WoS Q Değeri
N/A
Scopus Q Değeri
Q1
Cilt
15
Sayı
4
