摘要
考虑了一维抛物型方程的定解问题.问题是不适定性的,即g(t)微小扰动会引起解的很大误差.本文给出了利用Meyer小波的尺度函数在频域中形式作为窗函数来滤除g(t)的高频成分来正则化问题并给出了误差估计,与已有方法进行了比较和讨论.
The sideways parabolic equation in the quarter plane is considered. This is an illposed problem： a small perturbation in the data g（t） may cause dramatically large errors in the solution. Regularization for the problem is given by using the scaling function of Meyer wavelet as a window function to filter away highfre-quence components of g（t） . The error estimate also is provided. Then comparison and discussion between this method and the method in reference are given.
出处
《固原师专学报》
2006年第6期27-30,共4页
Journal of Guyuan Teachers College
关键词
逆问题
不适定问题
抛物型方程
窗函数
正则化
Inverse Problem
Ill-posed Problem
Parabolic equation
Window function
Regularization
