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所属单位：数学学院

发表刊物：Applied Mathematics and Computation

关键字：Caputo fractional derivative; Fractional thermal wave model; Spherical composite medium; Finite difference; Inverse problem

摘要：In this paper, we formulate a fractional thermal wave model for a bi-layered spherical tissue. Implicit finite difference method is employed to obtain the solution of the direct problem. The inverse analysis for simultaneously estimating the Caputo fractional derivative and the relaxation time parameters is implemented by means of the LevenbergMarquardt method. Compared with the experimental data, we can obviously find out that the estimated temperature increase values are excellently consistent with the measured temperature increase values in the experiment. We have also discussed the effect of the fractional derivative, the relaxation time parameters, the initial guess as well as the sensitivity problem. All the results show that the proposed fractional thermal wave model is efficient and accurate in modeling the heat transfer in the hyperthermia experiment, and the proposed numerical method for simultaneously estimating multiple parameters for the fractional thermal wave model in a spherical composite medium is effective.

全部作者：Wang Chu

第一作者：于波

论文类型：基础研究

通讯作者：蒋晓芸

论文编号：72F26AE424204E67ABFE7F29BD717AD8

学科门类：理学

一级学科：数学

卷号：274

页面范围：106-118

是否译文：否

发表时间：2016-02-01

收录刊物：SCI