L^2[0,1]区间上的Daubechies小波包的应用

Applications of Orthogonal Daubechies Wavelet Packets on Interval

利用小波—Galerkin积分法,第一次给出了用区间上的小波包解第二类积分方程的算法实例,并与小波解积分方程得到的结果进行比较,实验结果表明条件数更小,稳定性更好;同时讨论了解法中方程组的系数矩阵的稀疏性,小波包得到的矩阵更稀疏.

By using wavelet-Galerkin methods, a numerical example is present to slove the Fredholm integral equation with the wavelet packet on the interval. Comparing with the solution by the wavelet, the coefficient of the equation with wavelet packet is less than the coefficient with wavelet, and more stable. At the same time, the result of the experiment demonstrates that the matrix obtained by using the orthogonal Daubechies wavelet packets to decompose is more sparse.