Convergence of the variational iteration method for solving multi-delay differential equations
Convergence of the variational iteration method for solving multi-delay differential equations
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DOI：
10.1016/j.camwa.2010.08.099
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发表时间：
2011-04
期刊：
影响因子：
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通讯作者：
Shuiping Yang;A. Xiao
中科院分区：
文献类型：
--
作者：
Shuiping Yang;A. Xiao
本文应用变分迭代法求解多阶分数阶微分方程的近似解。通过一些简单的变换和VIM的应用，我们可以很容易地得到满意的解。给出了求解M-FDEs的VIM的收敛性和误差估计定理。数值结果表明理论分析是准确的，VIM是求解M-FDEs的一种有效方法。
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.