A Lipschitz Stability Estimate for the Inverse Source Problem and the Numerical Scheme

被引：0

作者：

Jia, Xianzheng ^{[1
]}

机构：

[1] Shandong Univ Technol, Zibo 255000, Shandong, Peoples R China

来源：

ADVANCES IN MATHEMATICAL PHYSICS | 2016年 / 2016卷

关键词：

DEPENDENT HEAT-SOURCE; FUNDAMENTAL-SOLUTIONS; IDENTIFICATION;

D O I：

10.1155/2016/9504829

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the inverse source problem for heat equation, where the source term has the form f(t)phi(x). We give a numerical algorithm to compute unknown source term f(t). Also, we give a stability estimate in the case that f(t) is a piecewise constant function.

引用

页数：5

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