Convergence of the variational iteration method for solving multi-order fractional differential equations
Convergence of the variational iteration method for solving multi-order fractional differential equations
复制标题
求解多阶分数阶微分方程的变分迭代法的收敛性
DOI：
10.1016/j.camwa.2010.09.044
复制
发表时间：
2010-11-01
影响因子：
2.9
通讯作者：
Su, Hong
中科院分区：
文献类型：
--
作者：
Yang, Shuiping;Xiao, Aiguo;Su, Hong
本文利用变分迭代法（Vim）求出了多阶分数阶微分方程（M-FDES）的近似解。我们可以很容易地获得满意的解决方案，只需使用一些简单的变换和应用Vim。给出了求解M-FDE的Vim的收敛性定理和误差估计。此外，数值结果表明，我们的理论分析是准确的，Vim是一个强大的方法来解决M-FDES。(C)2010爱思唯尔有限公司版权所有。
In this paper, the variational iteration method (VIM) is applied to obtain approximate solutions of multi-order fractional differential equations (M-FDEs). We can easily obtain the satisfying solution just by using a few simple transformations and applying the VIM. A theorem for convergence and error estimates of the VIM for solving M-FDEs is given. Moreover, numerical results show that our theoretical analysis are accurate and the VIM is a powerful method for solving M-FDEs. (C) 2010 Elsevier Ltd. All rights reserved.