| Burgers方程的小波近似惯性流形及数值分析 |
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| 引用本文： | 田立新,许伯强,刘曾荣.Burgers方程的小波近似惯性流形及数值分析[J].应用数学和力学,2002,23(10):1013-1024. |
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| 作者姓名： | 田立新 许伯强 刘曾荣 |
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| 作者单位： | 1.江苏大学理学院, 江苏 镇江 212013; |
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| 基金项目： | 国家自然科学基金资助项目 (10 0 710 33)，教育部骨干教师基金资助项目 |
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| 摘 要： | 研究Burgers方程小波基下小波近似惯性流形的存在性,并作低阶多分辨分析下的数值分析,数值分析表明小波近似惯性流形更能反映方程的局部行为.
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| 关 键 词： | 小波 小波近似惯性流形 小波Galerkin解 无穷维动力系统 |
| 文章编号： | 1000-0887(2002)10-1013-12 |
| 收稿时间： | 2001-10-09 |
| 修稿时间： | 2001年10月9日 |
Wavelet Approximate Inertial Manifold and Numerical Solution of Burgers' Equation |
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| TIAN Li_xin ,XU Bo_qiang ,LIU Zeng_rong.Wavelet Approximate Inertial Manifold and Numerical Solution of Burgers' Equation[J].Applied Mathematics and Mechanics,2002,23(10):1013-1024. |
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| Authors: | TIAN Li_xin XU Bo_qiang LIU Zeng_rong |
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| Institution: | 1.Faculty of Science, Jiangsu University of Science and Technology, Zhenjiang, Jiangsu 212013, P R China;2.Department of Mathematics, Shanghai University, Shanghai 200018, P R China |
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| Abstract: | The existence of approximate inertial manifold using wavelet to Burgers' equation, and numerical solution under multiresolution analysis with the low modes were studied. It is shown that the Burgers' equation has a good localization property of the numerical solution distinguishably. |
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| Keywords: | wavelet wavelet approximate inertial manifold (WAIM) wavelet Galerkin solution infinite dimensional dynamic system |
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