| 热传导方程的小波精细积分算法 |
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| 引用本文： | 王丫. 热传导方程的小波精细积分算法[J]. 重庆理工大学学报(自然科学版), 2007, 21(8): 130-132 |
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| 作者姓名： | 王丫 |
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| 作者单位： | 中南大学数学科学与计算技术学院 长沙410083 |
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| 摘 要： | 以热传导方程为例,提出了一种求解线性抛物型方程的小波精细积分法.该方法先提出了拟shannon小波配点法,利用拟shannon小波配点法对空间域进行离散,建立起对时间的常微分方程组,然后采用精细时程积分方法对该方程组求解.数值结果表明:该方法同其它方法相比,具有计算格式简单,数值稳定性和精度较高的优点.
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| 关 键 词： | 热传导方程 拟shannon小波配点法 精细时程积分法 |
| 文章编号： | 1671-0924(2007)08-0130-03 |
| 修稿时间： | 2007-06-28 |
Wavelet Precise Time-integration Method for Heat Conduction Equation |
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| WANG Ya. Wavelet Precise Time-integration Method for Heat Conduction Equation[J]. Journal of Chongqing University of Technology(Natural Science), 2007, 21(8): 130-132 |
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| Authors: | WANG Ya |
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| Abstract: | This paper takes heat conduction equation as example and presents a wavelet precise time-integration approach to solving linear parabolic equations.In this method,the quasi-shannon wavelet collocation method is given to make the spatial domain discrete and the system of or-dinary differential equation for time is built.Then wavelet precise time-integration approach is used to solve the system of equation.Numerical examples show that,compared with other method, this approach has the advantages of simple computational format,numerical stability and higher precision. |
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| Keywords: | heat conduction equation quasi-shannon wavelet collocation method precise time-integration approach |
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