Paper Publications
Parameter estimation for the time fractional heat conduction model based on experimental heat flux data
Release Time:2020-07-14
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Institution:
数学学院
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Journal:
Applied Mathematics Letters
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Key Words:
Fractional heat conduction equation; Spectral collocation method; Parameter estimation; Cuckoo search algorithm
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Summary:
In this paper, a time fractional heat conduction model is built to describe the heat transfer process in coalbed methane adsorption. A spectral collocation scheme with time discretized by the finite difference method and space discretized by Legendre collocation method is introduced to obtain the numerical solution of the fractional model. In addition, a new optimization algorithm, called the cuckoo search (CS) algorithm, is first proposed to estimate the parameters of fractional heat conduction model with the adsorption experimental heat flux data and is proved to be effective. Sensitivity analysis of model parameters and stability analysis of the CS algorithm for the fractional model are carried out at last. (C) 2019 Elsevier Ltd. All rights reserved.
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First Author:
迟晓庆
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Correspondence Author:
于波,Jiang Xiaoyun
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Discipline:
Natural Science
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First-Level Discipline:
Mathematics
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Volume:
102
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Page Number:
106094
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Translation or Not:
No
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Date of Publication:
2020-04
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Included Journals:
SCI
