A full fuzzy method for solving differential equation based on Taylor expansion

被引：33
作者：
Allahviranloo, T. [1 ,2 ]
Gouyandeh, Z. [1 ]
Armand, A. [1 ]
机构：
[1] Islamic Azad Univ, Dept Math, Sci & Res Branch, Tehran, Iran
[2] Univ Prince Edward Isl, Dept Math & Stat, Charlottetown, PE C1A 4P3, Canada
来源：
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2015年 / 29卷 / 03期
关键词：
Generalized Hukuhara derivative; fuzzy Taylor expansion; fuzzy Euler method; global truncation error; local truncation error; VALUED FUNCTIONS;
D O I：
10.3233/IFS-151713
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, the fuzzy Taylor expansion is presented based on the concept of generalized Hukuhara differentiability. Using the fuzzy Taylor expansion, the Euler method and its local and global truncation errors are defined for solving fuzzy initial value problems. Moreover, the consistency, convergence and stability of the Euler method are provided in details. Finally, for illustration some numerical examples are solved.
引用
收藏
页码：1039 / 1055
页数：17
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