| 改进的小波均匀化方法求解小周期系数抛物型方程 |
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| 引用本文： | 杨建宏.改进的小波均匀化方法求解小周期系数抛物型方程[J].航空计算技术,2010,40(6):22-24. |
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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： | 国家自然科学基金资助项目，宝鸡文理学院科研计划重点项目 |
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| 摘 要： | 对传统的小波数值均匀化方法通过加入逐层修正的步骤进行了改进,并将改进后的方法用于求解具有小周期系数的抛物型方程。数值算例结果表明：在保持较高计算效率的同时,改进后的方法比改进前方法在精度方面有明显的提高。因此,改进后方法是小周期系数抛物型方程的一种高效率、高精度的数值求解方法。
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| 关 键 词： | 小波分析 均匀化 小周期系数 抛物型方程 |
A Improved Wavelet-based Numerical Homogenization Method for the Parabolic Equations with little Periodic Coefficient |
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| YANG Jian-hong.A Improved Wavelet-based Numerical Homogenization Method for the Parabolic Equations with little Periodic Coefficient[J].Aeronautical Computer Technique,2010,40(6):22-24. |
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| Authors: | YANG Jian-hong |
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| Institution: | YANG Jian-hong(Department of Mathmatic,Baoji University of Arts and Sciences,Baoji 721013,China) |
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| Abstract: | A improved wavelet-based homogenization method is achieved by using successive correction procedure.And the improved method is applied with the one-dimensional Parabolic equations with little periodic coefficients.Numerical results show that the improved wavelet-based method keep better efficiency.Compared with the wavelet-based homogenization methods,the improved wavelet-based homogenization method further improve the calculation accuracy. |
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| Keywords: | wavelet analysis homogenization little periodic coefficient parabolic equations |
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