On solving partial differential eqauations of fractional order by using the variational iteration method and multivariate padé approximation
Yükleniyor...
Dosyalar
Tarih
2013-04
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
European Journal of Pure and Applied Mathematics
Erişim Hakkı
info:eu-repo/semantics/openAccess
Attribution-ShareAlike 3.0 United States
Attribution-ShareAlike 3.0 United States
Özet
In this article, multivariate Padé approximation and variational iteration method proposed
by He is adopted for solving linear and nonlinear fractional partial differential equations. The fractional
derivatives are described in the Caputo sense. Numerical illustrations that include nonlinear timefractional hyperbolic equation and linear fractional Klein-Gordon equation are investigated to show
efficiency of multivariate Padé approximation. Comparison of the results obtained by the variational
iteration method with those obtained by multivariate Padé approximation reveals that the present
methods are very effective and convenient.
Açıklama
Anahtar Kelimeler
Variational Iteration Method, Multivariate Padé Approximation, Fractional Differential Equation, Caputo Fractional Derivative
Kaynak
WoS Q Değeri
Scopus Q Değeri
Q4
Cilt
6
Sayı
2
Künye
Turut, V., Güzel, N. (2013). On solving partial differential eqauations of fractional order by using the variational iteration method and multivariate padé approximation. European Journal of Pure and Applied Mathematics, 6 (2), pp. 147-171.
