| 本征值问题的修正傅里叶级数解 |
| |
| 引用本文： | 李红艳,万钟林. 本征值问题的修正傅里叶级数解[J]. 湖南文理学院学报(自然科学版), 2012, 0(2): 4-5 |
| |
| 作者姓名： | 李红艳 万钟林 |
| |
| 作者单位： | 东莞理工学院城市学院计算机与信息科学系;东莞职业技术学院财经系 |
| |
| 摘 要： | 为了使本征值问题的求解更加完善,利用Iserles在2008年提出的修正傅里叶级数的三角基函数,使数学物理方法中的分离变量法成为一个全新的求解方法.利用这一方法对一类定解问题进行求解,最终得到了该问题的修正傅里叶级数解,验证了所提出的新方法的正确性.
|
| 关 键 词： | 偏微分方程 分离变量法 级数解 |
Modified Fourier series solution of the eigen-value problem |
| |
| LI Hong-yan,WAN Zhong-lin. Modified Fourier series solution of the eigen-value problem[J]. Journal of Hunan University of Arts and Science:Natural Science Edition, 2012, 0(2): 4-5 |
| |
| Authors: | LI Hong-yan WAN Zhong-lin |
| |
| Affiliation: | 1.Department of Computer Science and Technology,City College,Dongguan Institute of Technology,Dongguan 523106,China;2.Finance Department,Dongguan Vocational and Technical College,Dongguan 523808,China) |
| |
| Abstract: | In order to solve the eigenvalue problem,a new method was proposed,one of the separation of variables in the mathematical physics based by the modified triangle basis functions suggested by Iserles in 2008.And then a class of problems was solved using this new method.And a right solve for this problem was put forward,which was verified the correctness of the proposed new method. |
| |
| Keywords: | partial differential equations separation of variables method series solution |
| 本文献已被 CNKI 等数据库收录！ |
|
