洛阳师范学院学报
洛暘師範學院學報
락양사범학원학보
Journal of Luoyang Teachers College
2015年
2期
45~47
,共null页
不适定问题 逆热传导问题 正则化 误差估计
不適定問題 逆熱傳導問題 正則化 誤差估計
불괄정문제 역열전도문제 정칙화 오차고계
ill-posed problem; inverse heat conduction problem; regularization; error estimate
考虑一个非标准的逆热传导问题,该问题是不适定的,即解不连续地依赖于数据.采用一种改进的Fourier正则化方法构造出问题的正则解,误差分析表明,该正则化方法是有效的.
攷慮一箇非標準的逆熱傳導問題,該問題是不適定的,即解不連續地依賴于數據.採用一種改進的Fourier正則化方法構造齣問題的正則解,誤差分析錶明,該正則化方法是有效的.
고필일개비표준적역열전도문제,해문제시불괄정적,즉해불련속지의뢰우수거.채용일충개진적Fourier정칙화방법구조출문제적정칙해,오차분석표명,해정칙화방법시유효적.
A non-standard inverse heat conduction problem is discussed. This problem is ill-posed,i. e. the solution is discontinuously dependent on the data. To obtain the solution to this problem,an improved Fourier regularization method is constructed,and error analysis indicate that this method is effective.
