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| 有界区域上非标准热方程只含有空间变量的热源识别反问题 | |
| 引用本文： | 万诗敏,杨帆,于鲁源.有界区域上非标准热方程只含有空间变量的热源识别反问题[J].天津城市建设学院学报,2010,16(3):212-215. |
| 作者姓名： | 万诗敏 杨帆 于鲁源 |
| 作者单位： | 1. 天津城市建设学院,基础学科部,天津,300384 2. 兰州理工大学,理学院,兰州730050 3. 天津大学理学院,天津,300072 |
| 基金项目： | 天津城市建设学院教育教学改革与研究项目 |
| 摘 要： | 探讨有界区域上一类含对流项热方程只含有空间变量的热源识别反问题.这类问题是不适定的,即问题的解不连续依赖于测量数据.利用拟可逆正则化方法,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？lder型的误差估计. |
| 关 键 词： | 热方程 对流项 未知源 正则化 拟可逆 |
The Inverse Problem of Identifying the Heat Source with Only Spatial Variable for the Non-standard Heat Equation in the Bounded Domain |
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| WAN Shi-min,YANG Fan,YU Lu-yuan.The Inverse Problem of Identifying the Heat Source with Only Spatial Variable for the Non-standard Heat Equation in the Bounded Domain[J].Journal of Tianjin Institute of Urban Construction,2010,16(3):212-215. | |
| Authors: | WAN Shi-min YANG Fan YU Lu-yuan |
| Affiliation: | 1.Department of Basic Courses,TIUC,Tianjin 300384,China;2.School of Science,Lanzhou Univ.of Tech.,Lanzhou 730050,China;3.School of Science,Tianjin University,Tianjin 300072,China) |
| Abstract: | The inverse problem of determining a spacewise-dependent heat source is discussed for one-dimensional heat equation with convection term in the bounded domain.This problem is ill-posed,i.e.t,he solution does not de-pend continuously on the measurement data.A regular approximate solution of the inverse problem is obtained by the quasi-reversibility regularization method,and the H？lder type error estimation is got between the regularization solu-tion and the exact solution. |
| Keywords: | heat equation convection term unknown source regularization quasi-reversibility |
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