蒋晓芸

个人信息Personal Information

教授 博士生导师 硕士生导师

性别:女

毕业院校:山东大学

学历:博士研究生毕业

学位:理学博士学位

在职信息:在职

所在单位:数学学院

入职时间:1986-07-01

学科:应用数学

办公地点:知新楼B座

联系方式:邮箱:wqjxyf@sdu.edu.cn


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Parameter estimation for the time fractional heat conduction model based on experimental heat flux data

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所属单位:数学学院

发表刊物:Applied Mathematics Letters

关键字:Fractional heat conduction equation; Spectral collocation method; Parameter estimation; Cuckoo search algorithm

摘要: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.

第一作者:迟晓庆

论文类型:基础研究

通讯作者:于波,蒋晓芸

学科门类:理学

一级学科:数学

卷号:102

页面范围:106094

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发表时间:2020-04-01

收录刊物:SCI