The Method of Fundamental Solution for a Radially Symmetric Heat Conduction Problem with Variable Coefficient

被引：0
|
作者：
Ma Rui [1 ]
Xiong Xiangtuan [1 ]
Amin, Mohammed Elmustafa [1 ,2 ]
机构：
[1] Northwest Normal Univ, Dept Math, Lanzhou, Peoples R China
[2] Omdurman Islamic Univ, Dept Math, Khartoum, Sudan
来源：
JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS | 2021年 / 34卷 / 03期
关键词：
Inverse heat conduction problem; method of fundamental solutions (MFS); Cauchy problem; Ill-posed problem; EQUATION;
D O I：
10.4208/jpde.v34.n3.4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：258 / 267
页数：10
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