| 改进的二维小周期系数抛物型方程的小波算法 |
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| 引用本文： | 杨建宏.改进的二维小周期系数抛物型方程的小波算法[J].河南科学,2010,28(11):1374-1378. |
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| 作者姓名： | 杨建宏 |
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| 作者单位： | 宝鸡文理学院数学系,陕西宝鸡721013 |
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| 基金项目： | 国家自然科学基金，陕西省自然科学基础研究计划项目，宝鸡文理学院重点科研项目 |
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| 摘 要： | 利用小波多分辨分析原理,通过向粗尺度解中加入高频分量的方式,完成了对二维小周期系数抛物型方程均匀化方法的改进,并将改进后的方法用于具有小周期变化导水系数的二维非稳定水流的数值模拟.算法分析和数值结果表明:改进的小波均匀化算法不仅保持较高的计算效率,而且进一步提高了计算精度.
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| 关 键 词： | 小波分析 均匀化算法 周期变化系数 非稳定水流 抛物型方程 |
A Improved Wavelet-Based Method for the Two-Dimensional Parabolic Equations with Little Periodic Coefficient |
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| Yang Jianhong.A Improved Wavelet-Based Method for the Two-Dimensional Parabolic Equations with Little Periodic Coefficient[J].Henan Science,2010,28(11):1374-1378. |
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| Authors: | Yang Jianhong |
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| Institution: | Yang Jianhong (Department of Mathmatic, Baoji University of Arts and Sciences, Baoji 721013, Shaanxi China) |
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| Abstract: | Based on wavelet multi-resolution analysis, the wavelet-based homogenization method is improved and the improved method is applied to the two-dimensional unstationary water flow with periodic oscillating in hydraulic conductivity coefficient. Numerical experiments illustrate that higher efficiency is kept and further the computational accuracy is improved of the improved method. |
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| Keywords: | wavelet analysis homogenization algorithm periodic oscillating coefficient unstable flow parabolic equations |
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