宁夏大学学报（自然科学版）2011，Vol.32Issue(3)：198-201,4.DOI:64-1006/N.20110714.1740.001
非齐次热传导方程逆时问题的一种正则化方法
A Regularization Method for A Backward Problem of Non-homogeneous Heat Equations
摘要
Abstract
A backward problem of non-homogeneous heat conduction equations is considered, which is a typical ill-posed problem. By the Fourier expansions of the non-homogeneous term and the final temperature w(x,T) , a regularizing approximate problem is constructed, then a regularization solution of the original backward problem is obtained. Furthermore, the error estimates of the stability and the convergence for the regularization solution are presented. Finally, numerical examples are given to show the feasible of the proposed regularization method.关键词
正则化方法/热传导方程/逆时问题/不适定问题Key words
regularization method/ heat conduction equation/ backward problem/ ill-posed problem分类
数理科学引用本文复制引用
何杰,王泽文,张文..非齐次热传导方程逆时问题的一种正则化方法[J].宁夏大学学报（自然科学版）,2011,32(3):198-201,4.基金项目
国家自然科学基金资助项目(10861001) （10861001）
江西省自然科学基金资助项目(2009GZS0001) （2009GZS0001）
