A computational approach for shallow water forced Korteweg-De Vries equation on critical flow over a hole with three fractional operators
Küçük Resim Yok
Tarih
2021
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Ramazan Yaman
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The Korteweg-De Vries (KdV) equation has always provided a venue to study and generalizes diverse physical phenomena. The pivotal aim of the study is to analyze the behaviors of forced KdV equation describing the free surface criti-cal flow over a hole by finding the solution with the help of q-homotopy analysis transform technique (q-HATT). he projected method is elegant amalgamations of q-homotopy analysis scheme and Laplace transform. Three fractional oper-ators are hired in the present study to show their essence in generalizing the models associated with power-law distribution, kernel singular, non-local and non-singular. The fixed-point theorem employed to present the existence and uniqueness for the hired arbitrary-order model and convergence for the solution is derived with Banach space. The projected scheme springs the series solution rapidly towards convergence and it can guarantee the convergence associated with the homotopy parameter. Moreover, for diverse fractional order the physi-cal nature have been captured in plots. The achieved consequences illuminates, the hired solution procedure is reliable and highly methodical in investigating the behaviours of the nonlinear models of both integer and fractional order.
Açıklama
Anahtar Kelimeler
Force Kdv Equation, Fractional Derivatives, Q-Homotopy Analysis Transform, Technique, Fixed Point Theorem
Kaynak
International Journal Of Optimization And Control-Theories & Applications-Ijocta
WoS Q Değeri
Scopus Q Değeri
Q3
Cilt
11
Sayı
3
