Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900742 | Applied Mathematics and Computation | 2018 | 14 Pages |
Abstract
As a type of uncertain differential equations, uncertain spring vibration equation is driven by Liu process. This paper proposes a concept of α-path, and shows that the solution of an uncertain spring vibration equation can be expressed by a family of solutions of second-order ordinary differential equations. This paper also proves that the inverse uncertainty distribution of solution of uncertain spring vibration equation is just the α-path of uncertain spring vibration equation, and a numerical algorithm is designed. Moreover, a formula to calculate the expected value of solution of uncertain spring vibration equation is derived. Finally, several numerical examples are provided to illustrate the efficiency of the numerical method.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Lifen Jia, Waichon Lio, Xiangfeng Yang,