The Method of Fundamental Solution for a Radially Symmetric Heat Conduction Problem with Variable Coefficient
Year: 2021
Author: Rui Ma, Xiangtuan Xiong, Mohammed Elmustafa Amin
Journal of Partial Differential Equations, Vol. 34 (2021), Iss. 3 : pp. 258–267
Abstract
We consider an inverse heat conduction problem with variable coefficient on an annulus domain. In many practice applications, we cannot know the initial temperature during heat process, therefore we consider a non-characteristic Cauchy problem for the heat equation. The method of fundamental solutions is applied to solve this problem. Due to ill-posedness of this problem, we first discretize the problem and then regularize it in the form of discrete equation. Numerical tests are conducted for showing the effectiveness of the proposed method.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v34.n3.4
Journal of Partial Differential Equations, Vol. 34 (2021), Iss. 3 : pp. 258–267
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Inverse heat conduction problem method of fundamental solutions (MFS) Cauchy problem Ill-posed problem.