| 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(15): 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shanon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 |
| 收稿时间： | 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(15): 130-132 |
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| Authors: | WANG Ya |
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| Affiliation: | College of Mathematical. Sciences and Computing Technology, South Central University, Changsha 410083, China |
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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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