| Noumann边值问题的小波迦辽金解法 |
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| 引用本文： | 屈梁柱,王壮壮,管巍.Noumann边值问题的小波迦辽金解法[J].佳木斯工学院学报,2009(4):585-587. |
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| 作者姓名： | 屈梁柱 王壮壮 管巍 |
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| 作者单位： | 燕山大学理学院,河北秦皇岛066004 |
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| 摘 要： | 对一类非线性偏微分方程的Noumann边值问题,先进行时间变量的离散,建立差分格式,然后对每一固定时间层使用小波Galerkin方法,得到线性方程组或代数方程组,从而得到原问题的数值解,最后通过数值例子验证了方法的可行性.
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| 关 键 词： | 非线性偏微分方程 Noumann边值问题 小波Galerkin方法 |
Wavelet- Galerkin Method for Neumann Boundary Problem |
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| Authors: | QU Liang-zhu WANG Zhuang-zhuang GUAN Wei |
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| Affiliation: | (College of Science, Yanshan University, Qinhuangdao 066004, China) |
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| Abstract: | The Neumann boundary value problem of a class of nonlinear partial differential equations was discussed in this paper. For solving the problem, the time variable was discreted first, the difference scheme was established, and then each layer of fixed time was treated by wavelet Galerkin method, so that the difference scheme was transformed into linear equations or algebraic equations. |
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| Keywords: | nonlinear partial differential equation Neumann boundary value problem Wavelet- Galerkin method |
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