He's homotopy perturbation method for solving the fractional KdV-Burgers-Kuramoto equation
Küçük Resim Yok
Tarih
2011
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Emerald Group Publishing Limited
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Purpose - The purpose of this paper is to directly extend the homotopy perturbation method (HPM) that was developed for integer-order differential equation, to derive explicit and numerical solutions of the fractional KdV-Burgers-Kuramoto equation. Design/methodology/approach - The authors used Maple Package to calculate the functions obtained from the HPM. Findings - The fractional derivatives are described in the Caputo sense. HPM performs extremely well in terms of accuracy, efficiently, simplicity, stability and reliability. Originality/value - The paper describes how the HPM has been successfully applied to find the solution of fractional KdV-Burgers-Kuramoto equation.
Açıklama
Anahtar Kelimeler
Differential equations, Mathematics
Kaynak
International Journal of Numerical Methods For Heat & Fluid Flow
WoS Q Değeri
Q3
Scopus Q Değeri
Cilt
21
Sayı
03.Apr
