Numerical solution of some fractional partial differential equations using collocation finite element method
Küçük Resim Yok
Tarih
2015
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Natural Sciences Publishing
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this work, our aim is to obtain a numerical solution to some fractional differential equations. In the solution process, we have used fractional derivatives in Caputo sense. The fundamental characteristics of the present method is the fact that it converts complex problems into those requiring the solution of algebraic ones, which is obviously more easy for computational processing. The obtained approximate values show the accuracy and suitability of the present scheme for applying a wide range of fractional partial differential equations. Finally, the error norms L2 and L? are computed and found to be sufficiently small. © 2015 NSP.
Açıklama
Anahtar Kelimeler
Collocation method, Cubic B-spline, Finite element method, Fractional differential equation
Kaynak
Progress in Fractional Differentiation and Applications
WoS Q Değeri
Scopus Q Değeri
Q3
Cilt
1
Sayı
3
