Numerical solutions of fractional differential equations of Lane-Emden type by an accurate technique
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Tarih
2015
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer International Publishing Ag
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this work, we study the fractional order Lane-Emden differential equations by using the reproducing kernel method. The exact solution is shown in the form of a series in the reproducing kernel Hilbert space. Some numerical examples are given in order to demonstrate the accuracy of the present method. The results obtained from the method are compared with the exact solutions and another method. The obtained numerical results are better than the ones provided by the collocation method. Results of numerical examples show that the presented method is simple, effective, and easy to use.
Açıklama
Anahtar Kelimeler
reproducing kernel method, fractional differential equations, Lane-Emden differential equations
Kaynak
Advances in Difference Equations
WoS Q Değeri
Q4
Scopus Q Değeri
N/A
