A mollified approach to reconstruct an unknown boundary condition for the heat conduction equation of fractional order

被引：0
|
作者：
Babaei, Afshin [1 ]
Banihashemi, Seddigheh [1 ]
机构：
[1] Univ Mazandaran, Dept Appl Math, Babolsar 4741695447, Iran
来源：
INTERNATIONAL JOURNAL OF COMPUTING SCIENCE AND MATHEMATICS | 2021年 / 14卷 / 04期
关键词：
heat conduction equation; Caputo's derivative; ill-posedness; mollification; finite difference;
D O I：
10.1504/IJCSM.2021.120685
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We consider an inverse problem of time fractional heat conduction problem. It is shown that the problem is ill-posed. A method is investigated based on the finite difference to find heat distribution and boundary values. The discrete mollification regularisation is applied to obtain a stable numerical solution. Finally, some test problems are investigated to show the ability of the proposed scheme.
引用
收藏
页码：369 / 379
页数：11
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