Note on "Numerical solutions of fuzzy differential equations by predictor-corrector method"
Note on "Numerical solutions of fuzzy differential equations by predictor-corrector method"
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DOI：
10.1016/j.ins.2007.11.016
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发表时间：
2008-04-01
影响因子：
8.1
通讯作者：
Bede, Barnabas
中科院分区：
文献类型：
--
作者：
Bede, Barnabas
在本说明中，它表明，Allahviranloo等人在最近的一篇论文中提出的例子是不正确的。也就是说，作者提出的“精确解”不是给定模糊微分方程（FDES）的解。正确的精确解也在这里，连同一些结果的特征解下Hukuhara可微的一个等价系统的常微分方程。这样，一个新的方向，为有限差分方程的数值解。(C)2007爱思唯尔公司All rights reserved.
In the present note it is shown that the examples presented in a recent paper by Allahviranloo et al, are incorrect. Namely, the "exact solutions" proposed by the authors are not solutions of the given fuzzy differential equations (FDEs). The correct exact solutions are also presented here, together with some results for characterizing solutions of FDEs under Hukuhara differentiability by an equivalent system of ODEs. In this way a new direction for the numerical solutions of FDEs is proposed. (C) 2007 Elsevier Inc. All rights reserved.