A B-spline collocation method for solving fractional diffusion and fractional diffusion-wave equations
Küçük Resim Yok
Tarih
2015
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Tbilisi Centre Math Sci
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper,we have considered the fractional diffusion and fractional diffusion wave equations in which the time derivative is a fractional derivative in the Caputo form and have obtained their numerical solutions by collocation method using cubic B-spline base functions. In the solution process, for the fractional diffusion equation L1 discretizaton formula of the fractional derivative is applied, and for the fractional diffusion-wave equation L2 discretizaton formula of the fractional derivative is applied. Accuracy of the proposed method is discussed by computing the error norms L2 and L-infinity. A stability analysis of the approximation obtained by the scheme shows that the method is unconditionally stable.
Açıklama
Anahtar Kelimeler
Finite element method, Collocation method, Fractional diffusion equation, Fractional diffusion-wave equation, Cubic B-spline
Kaynak
Tbilisi Mathematical Journal
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
8
Sayı
2
