Solutions of coupled Burger s, fifth-order KdV and Kawahara equations using differential transform method with Padé approximant
Yükleniyor...
Tarih
2010
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Selcuk University Research Center of Applied Mathematics
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
We use differential transform method (DTM) with Padapproximant for the solution of a class of nonlinear partial differential equations. Efficiency and simple applicability of the method for the solution of complicated nonlinear partial differential equations are the main highlights of this study. Test problems related to coupled Burger's equation and two different types of nonlinear fifth-order Korteweg-de Vries (FKdV) equations are given to show the effectiveness of the technique. Most of the symbolic and numerical computations are performed using Mathematica software.
Açıklama
URL: http://sjam.selcuk.edu.tr/sjam/article/view/252
Anahtar Kelimeler
Differential transform method, Padé approximant, Fifth-order Korteweg-de Vries equations, Coupled Burger s equation, Kawahara equation, Nonlinear partial differential equations, Diferansiyel dönüşüm metodu, Padé yaklaşımı, Beşinci sıradan Korteweg-de Vries denklemleri, Coupled Burger's denklemi, Kawahara denklemi, Doğrusal olmayan kısmi diferansiyel denklemler
Kaynak
Selcuk Journal of Applied Mathematics
WoS Q Değeri
Scopus Q Değeri
Cilt
11
Sayı
Künye
Haq, S., Hussain, A., Islam, S. (2010). Solutions of coupled Burger s, fifth-order KdV and Kawahara equations using differential transform method with Padé approximant. Selcuk Journal of Applied Mathematics, 11 (1), 43-62.
