# High-order Uncertain Differential Equation and Its Application to Nuclear Reactors

Source: [High-order Uncertain Differential Equation and Its Application to Nuclear Reactors](<https://www.sota2.com/research/paper/68fa5bfd1e209131ce9cd2bd>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T17:22:25.716Z

Authors: Hao Li, Yuqian Wang

Published: 2024-07-03T11:24:42.000Z

## 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2407.03017>)

[PDF](<https://arxiv.org/pdf/2407.03017.pdf>)