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

• 作者: MA Rui XIONG Xiangtuan AMIN Mohammed Elmustafa
• 来源期刊: 偏微分方程（英文版）
• 学科: 数学
• 年，卷（期）: 2021,（3）
• 页码范围: 258-267
• 页数: 10页
• 分类号: O24
• 语种: 英文
• DOI: 10.4208/jpde.v34.n3.4

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.