浅海声波散射问题的Daubechies有限区间小波数值解

Daubechies wavelet on finite interval solution for the the problem of acoustic scattering in a shallow ocean

首先对浅海声波散射问题进行抛物化处理 ;然后利用变分法将原问题化为两个 Neumann问题及一个代数方程 ;进而采用 Daubechies区间小波进行计算 ,区间小波的消失矩性质及紧支性质大大减少了计算的复杂性 ;最后给出了具体算例 .

The propagation problem of acoustic waves in the shallow ocean is studied.It is first handled by applying the parabolic approximation method,and then reduce to two Neumann problems and a linear algebraic equation. After that the Daubechies wavelet on interval is employed to compute the numerical solution.The vanishing moment and compact support of wavelet on interval reduce the computation. Finally, some numerical examples are given.