| 求解常系数 ODE 的 Sobolev 正交小波有限元法 |
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| 引用本文： | 熊联欢,李德华,徐长发,黄建忠.求解常系数 ODE 的 Sobolev 正交小波有限元法[J].华中科技大学学报(自然科学版),1997(5). |
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| 作者姓名： | 熊联欢 李德华 徐长发 黄建忠 |
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| 作者单位： | 华中理工大学图像识别与人工智能研究所 |
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| 基金项目： | 863计划,国家自然科学基金 |
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| 摘 要： | 通过采用周期化的Ｓｏｂｏｌｅｖ正交小波基函数来数值求解常系数常微分方程，分析了这种Ｓｏｂｏｌｅｖ正交小波有限元法的一般步骤和算法特点．数值实验说明该法的收敛速度和误差分布都很好．
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| 关 键 词： | Sobolev正交小波函数 周期多尺度分析 有限元法 并行计算 微分方程数值解 |
A Sobolev Orthogonal Wavelet Galerkin Method for Numerical Solution of Ordinary Differential Equations with Constant Coefficients |
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| Xiong Lianhuan Inst. of Pattern Recognition & AI,HUST,Wuhan ,China. Li Dehua Xu Changfa Huang Jianzhong.A Sobolev Orthogonal Wavelet Galerkin Method for Numerical Solution of Ordinary Differential Equations with Constant Coefficients[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,1997(5). |
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| Authors: | Xiong Lianhuan Inst of Pattern Recognition & AI HUST Wuhan China Li Dehua Xu Changfa Huang Jianzhong |
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| Institution: | Xiong Lianhuan Inst. of Pattern Recognition & AI,HUST,Wuhan 430074,China. Li Dehua Xu Changfa Huang Jianzhong |
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| Abstract: | The periodized Sobolev orthogonal wavelet basis function is used to numerically solve ordinary differential equations with constant coefficients. The general procedures and the algorithm features of the Sobolev orthogonal wavelet Galerkin method are discussed. A numerical test shows that both the convergence rate and the error distribution are good. |
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| Keywords: | Sobolev orthogonal wavelet function multiscale periodic analysis finite element (Galerkin) method parallel computation numerical solution of differential equation |
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