| 满足边界条件的小波Galerkin法及在梁板结构中的应用 |
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| 引用本文： | 韩建刚,石智,任伟新.满足边界条件的小波Galerkin法及在梁板结构中的应用[J].福州大学学报(自然科学版),2005,33(1):80-83. |
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| 作者姓名： | 韩建刚 石智 任伟新 |
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| 作者单位： | 1. 福州大学土木建筑工程学院,福建,福州,350002
2. 西安建筑科技大学理学院,陕西,西安,710055 |
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| 摘 要： | 构造了满足区间上边界条件的HermiteB-样条尺度函数基,借助它给出了结合Galerkin法求解微分方程的方法步骤,并用来求解梁板结构问题.具体算例显示,方法具有良好的计算精度,同时弥补了Dau bechies小波-Galerkin法在求解微分方程中的不足.
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| 关 键 词： | 小波-Galerkin法 微分方程 尺度函数 板 |
| 文章编号： | 1000-2243(2005)01-0080-04 |
| 修稿时间： | 2004年4月15日 |
Wavelet Galerkin method with boundary conditions and application |
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| HAN Jian-gang,SHI Zhi,REN Wei-xin.Wavelet Galerkin method with boundary conditions and application[J].Journal of Fuzhou University(Natural Science Edition),2005,33(1):80-83. |
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| Authors: | HAN Jian-gang SHI Zhi REN Wei-xin |
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| Institution: | HAN Jian-gang~1,SHI Zhi~2,REN Wei-xin~1 |
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| Abstract: | The Hermite B-spline scaling function bases has been coustructed with boundary conditions on the interval. Combining with Garlerkin method, the steps for solving differential equation are given. In order to explain this method, it is used to deal with finite-length beam and plate problems. Through the numerical calculation examples, it is proved that this method not only makes up the weakness of the Daubechies-wavelet Galerkin method but also has better accuracy. |
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| Keywords: | wavelet Galerkin method differential equation scaling function plate |
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