| 一类微分算子特征值的算法 |
| |
| 引用本文： | 朱敏峰,钱椿林.一类微分算子特征值的算法[J].南通职业大学学报,2007,21(4):102-105. |
| |
| 作者姓名： | 朱敏峰 钱椿林 |
| |
| 作者单位： | 1. 苏州大学,计算机科学与技术学院,江苏,苏州,215006
2. 苏州市职业大学,远程教育学院,江苏,苏州,215004 |
| |
| 基金项目： | 苏州市职业大学校科研和教改项目 |
| |
| 摘 要： | 采用Galerkin方法来构造适当的基函数,计算一类微分算子特征值的近似值,且可用第n次近似值来估计第n-1次近似值的精确度.随着n的增大,特征值λk的精确度逐步提高,只要适当选取n,就可以求得所需精确度的特征值的近似值,此算法具有一定的实用价值和理论价值.
|
| 关 键 词： | 微分算子 特征值 特征函数 Galerkin方法 |
| 文章编号： | 1008-5327(2007)04-0102-04 |
| 修稿时间： | 2007年10月23 |
One Computational Method of the Weighted Eigenvalues of a Class of Differential Operator |
| |
| ZHU Min-feng,QIAN Chun-lin.One Computational Method of the Weighted Eigenvalues of a Class of Differential Operator[J].Journal of Nantong Vocational College,2007,21(4):102-105. |
| |
| Authors: | ZHU Min-feng QIAN Chun-lin |
| |
| Abstract: | This paper considers one computational method of the approximate value of the weighted eigenvalues of a class of differential operator.The functions of basis are made by Galerkin method,the computational method of the approximate value of the eigenvalues turns out immediately,and the accuracy of(n-1)-th approximate value is estimated by n-th approximate value.When n is increased,the degree of accuracy of eigenvalue is increased.When n is appropriately selected,the degree of accuracy of we need is obtained.This computational method is significant both in applications and in theory. |
| |
| Keywords: | a class of differential operator weight eigenvaluing eigenfuction Galerkin methods |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
