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| 一类对流-扩散方程热源识别反问题 | |
| 引用本文： | 李晓晓,郭亨贞,万诗敏,汪训洋,杨帆. 一类对流-扩散方程热源识别反问题[J]. 兰州理工大学学报, 2012, 38(3): 147-149 |
| 作者姓名： | 李晓晓 郭亨贞 万诗敏 汪训洋 杨帆 |
| 作者单位： | 1. 兰州理工大学理学院,甘肃兰州,730050 2. 兰州城市学院教育学院,甘肃兰州,7130070 3. 天津城市建设学院基础学科部,天津,300384 |
| 基金项目： | 国家自然科学基金，兰州理工大学优秀青年基金 |
| 摘 要： | 根据测量数据,利用分离变量法,得到未知源函数和测量数据之间的关系式.这类问题称为未知源识别反问题,是典型的不适定问题.利用截断正则化方法,得到问题的一个正则近似解,并且给出正则解和精确解之间具有H¨oler型的误差估计. |
| 关 键 词： | 热源 反问题 对流-扩散方程 截断方法 |
A class of inverse problem of identification of heat source term in convection-diffusion equation |
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| LI Xiao-xiao , GUO Heng-zhen , WAN Shi-min , WANG Xun-yan , YANG Fan. A class of inverse problem of identification of heat source term in convection-diffusion equation[J]. Journal of Lanzhou University of Technology, 2012, 38(3): 147-149 | |
| Authors: | LI Xiao-xiao GUO Heng-zhen WAN Shi-min WANG Xun-yan YANG Fan |
| Affiliation: | 1 (1.School of Science,Lanzhou Univ.of Tech.,Lanzhou 730050,China;2.Institute of Education,Lanzhou City University,Lanzhou 730070,China;3.Department of Fundamental Subject,Tianjin Institute of Urban Construction,Tianjin 300384,China) |
| Abstract: | According to measured data,the relationship between the unknown source function and measured data was obtained by using variable separation method.This problem was called the inverse problem of identification of unknown source and was a typical ill-posed problem.A regularized approximate solution of the inverse problem was obtained by using truncated regularization method and the estimation of Hler-type error of regularized solution from exact one was given,also. |
| Keywords: | heat source inverse problem convection-diffusion equation truncation method |
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