摘要
讨论一类Laplace方程柯西问题:已知x=1的柯西数据,在区间0<x<1上求解.由于这个问题的不适定性,给出求解它的一种谱正则化方法,并分析正则化解与精确解之间的误差.
A class of Cauchy problem of Laplace equation was discussed in following way： the Cauchy data was given at x=1 and the solution was sought in the interval 0x1.Due to the ill-posed feature of the problem,a method for its spectral regularization was given.Meanwhile,the difference between regularized solution and exact solution was analyzed.
出处
《兰州理工大学学报》
CAS
北大核心
2010年第6期133-136,共4页
Journal of Lanzhou University of Technology
基金
湖北省教育厅科学技术研究项目(Q20082802)
关键词
不适定性
谱方法
正则化
误差估计
ill-posed feature
spectral method
regularization
error estimate
