Reconstruction of initial heat distribution via Green function method-Reference-Cited by-同舟云学术

Reconstruction of initial heat distribution via Green function method

Published:2022 Issue:8 Volume:30 Page:3071-3086
ISSN:2688-1594
Container-title:Electronic Research Archive
language:
Short-container-title:era

Author:

Fang Xiaoping¹²³,Deng Youjun⁴⁵,Zhang Zaiyun⁶

Affiliation:

1. School of Mathematics and Statistics, Hunan University of Technology and Business, Changsha 410205, Hunan, China

2. Key Laboratory of Hunan Province for Statistical Learning and Intelligent Computation, Changsha 410205, Hunan, China

3. National Key Laboratory of Data Intelligence and Smart Society, Changsha 410205, Hunan, China

4. School of Mathematics and Statistics, Central South University, Changsha 410083, Hunan, China

5. School of Mathematics and Computational Science, Hunan University of Science and Technology, Hunan 411201, China

6. School of Mathematics, Hunan Institute of Science and Technology, Yueyang 414006, Hunan, China

Abstract

<abstract><p>In this paper, layer potential techniques are investigated for solving the thermal diffusion problem. We construct the Green function to get the analytic solution. Moreover, by combining Fourier transform some attractive relation between initial heat distribution and the final observation is obtained. Finally iteration scheme is developed to solve the inverse heat conduction problem and convergence results are presented.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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