A spectral method for an axisymmetric backward heat equation

被引：13
|
作者：
Cheng, Wei [2 ]
Fu, Chu-Li [1 ]
机构：
[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
[2] Henan Univ Technol, Coll Sci, Zhengzhou 450001, Peoples R China
来源：
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING | 2009年 / 17卷 / 08期
基金：
中国国家自然科学基金;
关键词：
ill-posed problem; axisymmetric backward heat equation; spectral method; error estimate; REGULARIZATION;
D O I：
10.1080/17415970903063193
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We consider the inverse time problem for an axisymmetric heat equation. The problem is ill-posed: the solution (if it exists) does not depend continuously on the final data. A spectral method is applied to formulate a regularized solution and some quite sharp error estimates for the regularized solution are given with suitable choices of regularization parameters.
引用
收藏
页码：1085 / 1093
页数：9
相关论文
共 50 条
12345