节点文献
一维非标准热传导方程热源识别的Fourier正则化方法
Fourier Regularization of One Dimensional Non-standard Heat Equation Source Identification
【摘要】 探讨了热源项形式为的热传导方程的反问题。根据热传导方程的正问题理论,建立了一个联系测量数据和未知源项的积分恒等式。利用Fourier正则化方法,给出了误差估计。
【Abstract】 An inverse heat equation problem of a heat source term with form of f(x,t;u)=f(x) is investigated。According to the theory of direct problem in a heat equation, An integral identity connecting the unknown source term with measurable data is constructed .Then the error estimation is given by a Fourier regularization method.
【关键词】 热传导方程;
反问题;
热源;
识别;
正则化;
误差估计;
【Key words】 heat equation; inverse problem; heat source; regularization; error estimation;
【Key words】 heat equation; inverse problem; heat source; regularization; error estimation;
- 【文献出处】 阴山学刊(自然科学版) ,Yinshan Academic Journal(Natural Science Edition) , 编辑部邮箱 ,2006年03期
- 【分类号】O241.8
- 【被引频次】1
- 【下载频次】141