High-order Uncertain Differential Equation and Its Application to Nuclear Reactors
Analysis of PDEs
2024-07-04 v1
Abstract
High-order uncertain differential equation (HUDE) was introduced in literature. But the present method to solve a HUDE is incorrect. In this paper, we will rigorously prove some comparion theorems of high-order differential equations, and present a method to solve a family of HUDE, including parameter estimation and hypothesis test. Then an application to nuclear reactor kinetics is given to illustrate the method.
Cite
@article{arxiv.2407.03017,
title = {High-order Uncertain Differential Equation and Its Application to Nuclear Reactors},
author = {Hao Li and Yuqian Wang},
journal= {arXiv preprint arXiv:2407.03017},
year = {2024}
}
Comments
24 pages, 6 figures