[1]薛雷.一类常微分方程的数值解法[J].华侨大学学报(自然科学版),2017,38(1):131-134.[doi:10.11830/ISSN.1000-5013.201701026]
　XUE Lei.Numerical Solution for Class of Ordinary Differential Equations[J].Journal of Huaqiao University(Natural Science),2017,38(1):131-134.[doi:10.11830/ISSN.1000-5013.201701026]
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一类常微分方程的数值解法()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第38卷
期数:
2017年第1期
页码:
131-134
栏目:
出版日期:
2017-01-09

文章信息/Info

Title:
Numerical Solution for Class of Ordinary Differential Equations
文章编号:
1000-5013(2017)01-0131-04
作者:
薛雷
山东财经大学 东方学院, 山东 泰安 271000
Author(s):
XUE Lei
Dongfang College, Shandong University of Finance and Economics, Taian 271000, China
关键词:
Sturm-Liouville微分方程;  边界值;  正解;  微分算子
Keywords:
Sturm-Liouville differential equation;  boundary value;  positive solution;  differential operator
分类号:
O246
DOI:
10.11830/ISSN.1000-5013.201701026
文献标志码:
A
摘要:
研究一类Sturm-Liouville微分方程的数值解.针对d/(dx)［p(x)(dT)/(dx)］+(λρ(x)-q(x))T=0微分方程,提出用更细的粒度估算渐近的特征值,并对该方法进行论证.将该方法应用到等式证明中,结果表明:证明方法是有效的.
Abstract:
One kind of numerical solution for Sturm-Liouville differential equation is studied. As to d/(dx)［p(x)(dT)/(dx)］+(λρ(x)-q(x))T=0. By raising finer granularity for this differential equation to estimate asymptotic eigen value, we prove our conclusion. The result shows that it works well.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期: 2016-12-05
通信作者: 薛雷(1982-),男,讲师,博士,主要从事微积分及经济数学的研究.E-mail:xue-xiao@163.com.
基金项目: 国家自然科学基金管理科学面上资助项目(70971014)
更新日期/Last Update: 2017-01-20