| 椭圆方程的小波修正解法 |
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| 引用本文： | 高友兰.椭圆方程的小波修正解法[J].江汉大学学报(自然科学版),2008,36(3):11-13. |
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| 作者姓名： | 高友兰 |
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| 作者单位： | 仰恩大学,应用数学系,福建,泉州,362014 |
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| 摘 要： | 探讨应用Wavelet-Galerkin方法求解一维椭圆边值问题.根据小波的逼近性及多尺度分析对Wavelet-Galerkin方法进行了修正,得到补充解,进而得到逼近性较好的小波解.数值例子表明此方法的有效性.
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| 关 键 词： | 椭圆方程 Daubechies小波 Galerkin方法 多尺度分析 |
Wavelet Amended Solution to Elliptic Equation |
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| GAO You-lan.Wavelet Amended Solution to Elliptic Equation[J].Journal of Jianghan University:Natural Sciences,2008,36(3):11-13. |
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| Authors: | GAO You-lan |
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| Affiliation: | GAO You-lan (Department of Applied Mathematics, Yang-En University, Quanzhou 362014, Fujian, China) |
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| Abstract: | Applies the Wavelet-Galerkin method to resolve the problem of one dimension elliptic boundary value.According to the approximation of wavelet and the multiresolution analysis,the Wavelet-Galerkin method is amended and the supplemented solution is obtained,thus gains the wavelet solution with better approximation.Numerical examples show that this method is effective. |
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| Keywords: | elliptic equation Daubechies wavelet Galerkin method multiresolution analysis |
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