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

页码：369 / 379

页数：11

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