| 浅海声波散射问题的Daubechies有限区间小波数值解 |
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| 引用本文： | 张伯坚.浅海声波散射问题的Daubechies有限区间小波数值解[J].广西大学学报(自然科学版),2000,25(3):182-186. |
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| 作者姓名： | 张伯坚 |
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| 作者单位： | 广东农工商管理学院,基础部,广东,广州,510507 |
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| 摘 要： | 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问题有及一个代数方程，进而采用Ｄａｕｂｅｃｈｉｓｅ区间小波进行计算，区间小波的消失矩性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。
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| 关 键 词： | 散射 有限区间小波 浅海声波 数值解 |
| 修稿时间： | 2000-01-15 |
Daubechies wavelet on finite interval solution for the the problem of acoustic scattering in a shallow ocean |
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| ZHANG Bo,jian.Daubechies wavelet on finite interval solution for the the problem of acoustic scattering in a shallow ocean[J].Journal of Guangxi University(Natural Science Edition),2000,25(3):182-186. |
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| Authors: | ZHANG Bo jian |
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| Abstract: | 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. |
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| Keywords: | scattering Helmholtz equation wavelet on finite interval |
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