多点周期边值问题新的再生核方法

J4 ›› 2013, Vol. 48 ›› Issue (12): 42-46.

多点周期边值问题新的再生核方法

张瑞敏,林迎珍

北京理工大学珠海学院, 广东珠海 519088

收稿日期:2013-05-31 出版日期:2013-12-20 发布日期:2014-01-09
作者简介:张瑞敏(1980- ),女，讲师，硕士，研究方向为非线性椭圆型方程. Email:mathrmzhang@126.com

A new method of reproducing kernel for periodic
boundary-value problem

ZHANG Rui-min, LIN Ying-zhen

Received:2013-05-31 Online:2013-12-20 Published:2014-01-09

摘要/Abstract

摘要：

研究多点周期边值问题的数值求解,应用泛函分析理论提出了新的再生核方法。利用物理学中周期问题的模型验证了该方法的有效性,并证明了该方法的一致收敛性。

关键词: 多点边值问题; 周期边值问题; 再生核算法

Abstract:

Numerical solution for a class of periodic boundary-value problem is studied. A new method of reproducing kernel by using functional analysis is given. The method is valid by means of periodic problem in physics,and it has uniform convergence.

Key words: multipoint boundary-value problem; periodic conditions; reproducing kernel space

中图分类号:

O175.25

张瑞敏,林迎珍. 多点周期边值问题新的再生核方法[J]. J4, 2013, 48(12): 42-46.

ZHANG Rui-min, LIN Ying-zhen. A new method of reproducing kernel for periodic
boundary-value problem[J]. J4, 2013, 48(12): 42-46.

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