TY - JOUR
T1 - The Method of Fundamental Solution for a Radially Symmetric Heat Conduction Problem with Variable Coefficient
AU - Ma , Rui
AU - Xiong , Xiangtuan
AU - Amin , Mohammed Elmustafa
JO - Journal of Partial Differential Equations
VL - 3
SP - 258
EP - 267
PY - 2021
DA - 2021/07
SN - 34
DO - http://doi.org/10.4208/jpde.v34.n3.4
UR - https://global-sci.org/intro/article_detail/jpde/19323.html
KW - Inverse heat conduction problem, method of fundamental solutions (MFS), Cauchy problem, Ill-posed problem.
AB - <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>