期刊
MATHEMATICS AND COMPUTERS IN SIMULATION
卷 172, 期 -, 页码 71-89出版社
ELSEVIER
DOI: 10.1016/j.matcom.2019.12.019
关键词
Fractional differential equation; Fractional backward differentiation formula; Explicit methods; Regions of stability; Interval of stability
类别
资金
- University of Tabriz
In this paper, a family of explicit methods are presented based on the fractional backward differentiation formula of order three for the numerical solution of the fractional differential equations. The major part of the paper is focused on the study of the stability properties of the introduced methods. The intervals of stability for multistep methods have been calculated and a number of numerical examples are given to confirm theoretical results. (C) 2020 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.
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