标题：Parameter estimation for the time fractional heat conduction model based on experimental heat flux data
作者：Chi, Xiaoqing; Yu, Bo; Jiang, Xiaoyun
作者机构：[Chi, Xiaoqing; Jiang, Xiaoyun] Shandong Univ, Sch Math, Jinan 250100, Peoples R China.; [Yu, Bo] Shandong Univ, Sch Math & Stat, Weihai 264209, Peo 更多
通讯作者：Yu, Bo;Jiang, XY;Yu, B
通讯作者地址：[Jiang, XY]Shandong Univ, Sch Math, Jinan 250100, Peoples R China;[Yu, B]Shandong Univ, Sch Math & Stat, Weihai 264209, Peoples R China.
来源：APPLIED MATHEMATICS LETTERS
关键词：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.