| 波动偏微分方程小波解法 |
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| 引用本文： | 白凤山 吕同富. 波动偏微分方程小波解法[J]. 佳木斯大学学报, 2001, 19(4): 418-420 |
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| 作者姓名： | 白凤山 吕同富 |
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| 作者单位： | 佳木斯大学理学院数学系 黑龙江佳木斯154007(白凤山)，佳木斯大学理学院数学系 黑龙江佳木斯154007(吕同富) |
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| 基金项目： | 黑龙江省自然科学基金资助项目 ( A980 9)，佳木斯大学科研基金项目 ( 0 1-110 -0 1) |
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| 摘 要： | “波动偏微分方程边值问题”小波解法，利用正交小波近似，建立Taylor展开式逼近格式，对波动方程小波解法进行误差估计，小波解法与常规解法相比，逼近精度高、收敛速度快、没有解的振荡现象等优点。
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| 关 键 词： | 波动方程 边值问题 小波解法 偏微分方程 误差估计 小波分析 |
| 文章编号： | 1008-1402(2001)04-0418-03 |
| 修稿时间： | 2001-08-10 |
SOLUTION OF PARTIAL DIFFERENTIAL EQUATION BY MEANS OF WAVELET |
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| BAI Feng-shan,LU Tong-fu. SOLUTION OF PARTIAL DIFFERENTIAL EQUATION BY MEANS OF WAVELET[J]. Journal of Jiamusi University(Natural Science Edition), 2001, 19(4): 418-420 |
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| Authors: | BAI Feng-shan LU Tong-fu |
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| Abstract: | The solution of partial differential equation by means of wavelet is discussed in this paper. By means of orthogonal wavelet, a Taylor's approaching expansion equation is established. The calculating error is estimated as well. Compared with traditional methods, this approaching is of higher accuracy, faster aconvergence rate. Moreover, there is no oscillation in the solutiuon. |
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| Keywords: | differential equation boundary value problem solution by means of wavelet |
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