| 有限长梁的B-样条小波解 |
| |
| 引用本文： | 韩建刚,石智,黄义,暴瑛.有限长梁的B-样条小波解[J].西安科技大学学报,2003,23(4):481-484. |
| |
| 作者姓名： | 韩建刚 石智 黄义 暴瑛 |
| |
| 作者单位： | 1. 西安建筑科技大学,土木工程学院,陕西,西安,710055
2. 西安工业学院,计算机学院,陕西,西安,710032 |
| |
| 摘 要： | 通常的Daubechies小波没有具体的表达式,且其导数的求解非常复杂,为克服此缺点,给出了B-样条小波函数及其基本性质,并用B-样条小波求解有限长梁问题,有限长梁的边界条件采用固支端、简支端、自由端及其之间的相互组合,并进行了相应的求解。由结果对比可以看出,其解具有良好的精确性和收敛性。此求解方法适用所有的微分方程。
|
| 关 键 词： | B-样条小波函数 微分方程 有限长梁 |
| 文章编号： | 1671-1912(2003)04-0481-04 |
| 修稿时间： | 2002年11月10 |
B-spline wavelets solution of finite-length beam |
| |
| HAN Jian-gang,SHI Zhi,Huang Yi,BAO Ying.B-spline wavelets solution of finite-length beam[J].JOurnal of XI’an University of Science and Technology,2003,23(4):481-484. |
| |
| Authors: | HAN Jian-gang SHI Zhi Huang Yi BAO Ying |
| |
| Institution: | HAN Jian-gang~1,SHI Zhi~1,Huang Yi~1,BAO Ying~2 |
| |
| Abstract: | The Daubechies wavelets not only hasn't specific expression, but also it's derivative calculate complexly. In order to deal with this weakness, this paper gives the B-spline wavelet and essential quality of it, using the B-spline wavelet to solve the finite-length beam problem. Boundary conditions of finite length beam can divide into fixed end, simply supported, free end and combination of two of them, those conditions are all solved. Comparing the analytic results, the solution has better accuracy and convergence. The solution steps can deal with all differential equations. |
| |
| Keywords: | B-spline wavelets differential equation finite-length beam |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
