@Article{JPDE-34-258,
author = {Ma , RuiXiong , Xiangtuan and Amin , Mohammed Elmustafa},
title = {The Method of Fundamental Solution for a Radially Symmetric Heat Conduction Problem with Variable Coefficient},
journal = {Journal of Partial Differential Equations},
year = {2021},
volume = {34},
number = {3},
pages = {258--267},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v34.n3.4},
url = {http://global-sci.org/intro/article_detail/jpde/19323.html}
}