文章基本信息

标题：On solving fractional mobile/immobile equation
本地全文：下载
作者：Hossein Pourbashash ; Dumitru Baleanu ; Maysaa Mohamed Al Qurashi 等
期刊名称：Advances in Mechanical Engineering
印刷版ISSN：1687-8140
电子版ISSN：1687-8140
出版年度：2017
卷号：9
期号：1
DOI：10.1177/1687814016688616
语种：English
出版社：Sage Publications Ltd.
摘要：In this article, a numerical efficient method for fractional mobile/immobile equation is developed. The presented numerical technique is based on the compact finite difference method. The spatial and temporal derivatives are approximated based on two difference schemes of orders O ( τ 2 − α ) and O ( h 4 ) , respectively. The proposed method is unconditionally stable and the convergence is analyzed within Fourier analysis. Furthermore, the solvability of the compact finite difference approach is proved. The obtained results show the ability of the compact finite difference.
关键词：Mobile/immobile equation; time fractional; compact finite difference; Fourier analysis; stability; convergence; solvability