Haar wavelet method for solution of variable order linear fractional integro-differential equations
Yükleniyor...
Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
AIMS Press
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we developed a computational Haar collocation scheme for the solution of fractional linear integro-di erential equations of variable order. Fractional derivatives of variable order is described in the Caputo sense. The given problem is transformed into a system of algebraic equations using the proposed Haar technique. The results are obtained by solving this system with the Gauss elimination algorithm. Some examples are given to demonstrate the convergence of Haar collocation technique. For di erent collocation points, maximum absolute and mean square root errors are computed. The results demonstrate that the Haar approach is e cient for solving these equations.
Açıklama
Anahtar Kelimeler
variable-order fractional calculus, fixed-point theory, Gauss elimination method, Haar wavelet, numerical approximation
Kaynak
AIMS Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
N/A
Cilt
7
Sayı
4
