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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
Parameter identification for fractional fractal diffusion model based on experimental data
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所属单位：数学学院
发表刊物：Chaos
摘要：This paper studies the techniques of parameter estimation and their application in determining parameters of the fractional fractal diffusion model. On account of the basic structural characteristics of the porous coal matrix, the fractional fractal diffusion model is established to express the gas transport mechanism in the heterogeneous coal matrix. A L1 finite difference method in the temporal direction while spectral collocation method in the spatial direction is proposed to solve the model numerically. Then, by means of the gas adsorption and desorption experiments in coal samples, attempts have been made by the BFGS method, nonlinear conjugate gradient method, and Bayesian method to compare and contrast to obtain the physical parameters of the model. Furthermore, advantages and limitations of different estimation methods are discussed. Published under license by AIP Publishing.
全部作者：康建宏
第一作者：杨秀
论文类型：基础研究
通讯作者：蒋晓芸
论文编号：1D371E0D93DF4163AF019B11885BD67C
学科门类：理学
一级学科：数学
卷号：29
期号：8
页面范围：083134
是否译文：否
发表时间：2019-08-01
收录刊物：SCI
上一条：Fast finite difference approximation for identifying parameters in a two-dimensional space-fractional nonlocal model with variable diffusivity coefficients
下一条：Numerical algorithms to estimate relaxation parameters and Caputo fractional derivative for a fractional thermal wave model in spherical composite medium