High-order Uncertain Differential Equation and Its Application to Nuclear Reactors
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917712091938816 |
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| author | Li, Hao Wang, Yuqian |
| author_facet | Li, Hao Wang, Yuqian |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_03017 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | High-order Uncertain Differential Equation and Its Application to Nuclear Reactors Li, Hao Wang, Yuqian Analysis of PDEs 34F05 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. |
| title | High-order Uncertain Differential Equation and Its Application to Nuclear Reactors |
| topic | Analysis of PDEs 34F05 |
| url | https://arxiv.org/abs/2407.03017 |