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Phone: (843) 722-7550
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9 a.m. - 6 p.m.
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Nonparametric estimation of nonautonomous uncertain differential equations with application to temperature models.
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- Author(s): Feng, Yue1 (AUTHOR); Zhu, Yuanguo1 (AUTHOR) ; He, Liu1 (AUTHOR)
- Source:
Journal of Intelligent & Fuzzy Systems. 2024, Vol. 46 Issue 3, p7273-7281. 9p.- Subject Terms:
- Source:
- Additional Information
- Abstract: In recent years, there has been a great development in parameter estimation methods for uncertain differential equations (UDEs). However, the observations we can obtain in real life are limited, in which case the form of function in a UDE is unknown. When dealing with such UDEs, we may use observational data to make nonparametric estimates. There are many nonautonomous systems in real life, and nonautonomous UDEs can simulate some uncertain nonautonomous dynamical systems well. In this paper, a nonparametric estimation method based on the nonautonomous UDEs of the binary Legendre polynomial is proposed. Then, three numerical examples are given to verify the reliability of nonparametric estimation. As an application, a real data example of global average monthly temperatures is used to illustrate the effectiveness of our method. [ABSTRACT FROM AUTHOR]
- Abstract: Copyright of Journal of Intelligent & Fuzzy Systems is the property of IOS Press and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
- Abstract:
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