一类二阶两点奇异边值问题的数值近似

一类二阶两点奇异边值问题的数值近似

王林君¹, 张然¹,², 李辉来¹

1. 吉林大学数学学院, 长春 130012; 2. 大连理工大学应用数学系, 辽宁省大连 116024

收稿日期:2005-06-23 修回日期:1900-01-01 出版日期:2006-05-26 发布日期:2006-05-26
通讯作者: 李辉来

Numerical Approximation to a Class of Second Order Two pointSingular Boundary Value Problems

WANG Lin-jun¹, ZHANG Ran¹，², LI Hui-lai¹

1. College of Mathematics, Jilin University, Changchun 130012, China;2. Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, Liaoning Province, China

Received:2005-06-23 Revised:1900-01-01 Online:2006-05-26 Published:2006-05-26
Contact: LI Hui-lai

摘要/Abstract

摘要： 研究一类二阶两点奇异边值问题. 通过变换将奇异边值问题转化为非奇异边值问题, 提供了求解这类奇异边值问题部分数值解的数值求解方法. 两组实验结果表明, 所给出的计算方法是有效的.

关键词: 两点奇异边值问题, 数值解, 奇性

Abstract: The present paper deals with a class of second order twopoint singular boundary value problems which are widely applied to many fields. We turned the singular boundary value problems to nonsingular problems, and p resented a numerical method for them. Furthermore, numerical experiments were carried out.

Key words: twopoint singular boundary value problem, numerical solution, singularity

中图分类号:

O241.1

王林君, 张然,, 李辉来. 一类二阶两点奇异边值问题的数值近似[J]. J4, 2006, 44(03): 377-379.

WANG Lin-jun, ZHANG Ran，, LI Hui-lai. Numerical Approximation to a Class of Second Order Two pointSingular Boundary Value Problems[J]. J4, 2006, 44(03): 377-379.

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