Boundary functions determination in an inverse time fractional heat conduction problem

被引：3
|
作者：
Toubaei, S. [1 ,2 ]
Garshasbi, M. [3 ]
Reihani, P. [4 ]
机构：
[1] Islamic Azad Univ, Ahvaz Branch, Dept Math, Ahvaz, Iran
[2] Islamic Azad Univ, Dept Math, Khuzestan Sci & Res Branch, Ahvaz, Iran
[3] Iran Univ Sci & Technol, Sch Math, Tehran, Iran
[4] Payame Noor Univ, Dept Math, Tehran, Iran
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 2019年 / 38卷 / 04期
关键词：
Time fractional; Inverse problem; Mollification; Marching method; Boundary functions; MAXIMUM PRINCIPLE; RANDOM-WALKS; SOURCE-TERM; DIFFUSION; EQUATION; TRANSPORT;
D O I：
10.1007/s40314-019-0944-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this study, we propose an effective approach for the numerically solution of a class of one-dimensional nonlinear inverse time fractional heat conduction problems. The boundary heat fluxes are considered as unknown functions of the boundary temperatures. A numerical method based on the finite difference and mollification approaches is developed to determine the unknown boundary functions. The stability and convergence of the numerical method are proved. Four test problems are conducted to illustrate the ability of the numerical algorithm.
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收藏
页数：20
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