The solution of the nonlinear dispersive K(m,n,1) equations by RDT method

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Tarih

2011

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Yayıncı

Selcuk University Research Center of Applied Mathematics

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In the present paper, we implement the Reduced Differential Transform Method to solve the nonlinear dispersive K(m,n,1) type equations. This method is an alternative approach which is capable of reducing significantly the size of calculations unlike the classical differential transformation to overcome relatively troublesome aspects of perturbation techniques and the Adomian decomposition method regarding computational simplicity. To illustrate the applicability of the proposed method, two special types K(2,2,1) and K(3,3,1) of dispersive equations are discussed. Numerical results have been found in good agreement with the exact solutions.

Açıklama

URL: http://sjam.selcuk.edu.tr/sjam/article/view/304

Anahtar Kelimeler

Reduced differential transform method, Nonlinear dispersive equations, Adomian decomposition method, Variational iteration method, Azaltılmış diferansiyel dönüşüm metodu, Doğrusal olmayan dağılım denklemleri, Adomian ayrışım metodu, Varyasyonlu iterasyon yöntemi

Kaynak

Selcuk Journal of Applied Mathematics

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Scopus Q Değeri

Cilt

12

Sayı

Künye

Çenesiz, Y., Keskin, Y., Kurnaz, A. (2011). The solution of the nonlinear dispersive K(m,n,1) equations by RDT method. Selcuk Journal of Applied Mathematics, 12 (2), 53-61.