A fourth-order approximation of fractional derivatives with its applications

A new fourth-order difference approximation is derived for the space fractional derivatives by using the weighted average of the shifted Grünwald formulae combining the compact technique. The properties of proposed fractional difference quotient operator are presented and proved. Then the new approx...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Journal of computational physics 2015-01, Vol.281, p.787-805
Hauptverfasser:	Hao, Zhao-peng, Sun, Zhi-zhong, Cao, Wan-rong
Format:	Artikel
Sprache:	eng
Schlagworte:	Approximation Derivatives Diffusion Energy methods Fractional derivative Fractional differential equation High-order approximation Mathematical analysis Mathematical models Norms Quasi-compact difference scheme Two dimensional
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!