A quasi-boundary value regularization method for determining the heat source

被引：6

作者：

Yang, Fan ^{[1
,2
]}

Fu, Chu-Li ^{[1
]}

Li, Xiao-Xiao ^{[1
]}

机构：

[1] Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Gansu, Peoples R China

[2] Lanzhou Univ Technol, Scht Math & Stat, Lanzhou 730000, Gansu, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2014年 / 37卷 / 18期

基金：

中国国家自然科学基金;

关键词：

heat source; conditional stability; quasi-boundary value; error estimate; UNKNOWN SOURCE-TERM; FUNDAMENTAL-SOLUTIONS; IDENTIFICATION; EQUATION; SPACEWISE;

D O I：

10.1002/mma.3040

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the inverse problem of determining the heat source, which depends only on spatial variable in one-dimensional heat equation in a bounded domain where data is given at some fixed time. A conditional stability result is given, and a quasi-boundary value regularization method is also provided. For this regularization solution, the Holder type stability estimate between the regularization solution and the exact solution is obtained. Numerical examples show that the regularization method is effective and stable. Copyright (c) 2013 John Wiley & Sons, Ltd.

引用

页码：3026 / 3035

页数：10

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