A Modified Tikhonov Regularization Method for an Axisymmetric Backward Heat Equation

被引：1
|
作者：
Wei CHENG College of Science
机构：
来源：
Acta Mathematica Sinica,English Series | 2010年 / 26卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Ill-posed problem; axisymmetric backward heat equation; regularization; error estimate;
D O I：
暂无
中图分类号：
O551.3 [物质的热性质]; O175 [微分方程、积分方程];
学科分类号：
070104 ; 0702 ;
摘要：
This paper deals with the inverse time problem for an axisymmetric heat equation.Theproblem is ill-posed.A modified Tikhonov regularization method is applied to formulate regularizedsolution which is stably convergent to the exact one.Meanwhile, a logarithmic-Holder type errorestimate between the approximate solution and exact solution is obtained by introducing a rathertechnical inequality and improving a priori smoothness assumption.
引用
收藏
页码：2157 / 2164
页数：8
相关论文
共 50 条
12345