| 二点边值问题的小波方法 |
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| 引用本文： | 吴爱弟,亓健.二点边值问题的小波方法[J].中国石油大学学报(自然科学版),1998(6). |
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| 作者姓名： | 吴爱弟 亓健 |
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| 作者单位： | 石油大学应用数学系 |
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| 摘 要： | 利用Ｄａｕｂｅｃｈｉｅｓ正交小波的性质，通过修改边界上的小波函数，得到了满足齐次边界条件有限区域的小波基，由此可以通过ＷａｖｅｌｅｔＧａｌｅｒｋｉｎ方法来解二点边值问题。数值实验表明，所得到的小波近似解能很好地满足边界条件，且解的精度可以通过增加小波函数或增加尺度而得到提高。
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| 关 键 词： | 小波函数 小波基 边界条件 |
/ WAVELET SOLUTION FOR TWO POINT BOUNDARY QUESTION/ |
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| Wu Aidi the./ WAVELET SOLUTION FOR TWO POINT BOUNDARY QUESTION/[J].Journal of China University of Petroleum,1998(6). |
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| Authors: | Wu Aidi the |
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| Institution: | Dongying: 257062 |
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| Abstract: | Daubechies orthonormal wavelet function is used to construct wavelet base with boundary conditions on , and the wavelet base is applied to solve two point boundary value problems. Numerical computation results are presented to illustrate the effectiveness of the new methodology. The wavelet solutions obtained satisfy boundary conditions, and the solutional accuracy can be improved with increase of the scale or wavelet functions. |
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| Keywords: | wavelet function wavelet base boundary condition |
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