Authors
Kai Yao, Xiaowei Chen
Publication date
2013/1/1
Journal
Journal of Intelligent & Fuzzy Systems
Volume
25
Issue
3
Pages
825-832
Publisher
IOS Press
Description
Uncertain differential equation is a type of differential equation driven by canonical process. In this paper, a concept of α-path to uncertain differential equation is first introduced, which is a type of deterministic function that solves an associate ordinary differential equation. Then, a numerical method is designed for solving uncertain differential equations, which essentially solves each α-path and produces an inverse uncertainty distribution of the solution. To illustrate the efficiency of the numerical method, several examples are given.
Total citations
Scholar articles
K Yao, X Chen - Journal of Intelligent & Fuzzy Systems, 2013