八阶奇异边值问题精确解的表达形式

数学物理学报 ›› 2010, Vol. 30 ›› Issue (1): 103-113.

八阶奇异边值问题精确解的表达形式

么焕民, 林迎珍

1.哈尔滨工业大学数学系山东威海 264209; 2.哈尔滨师范大学数学科学学院哈尔滨 150025

收稿日期:2008-12-25 修回日期:2009-10-09 出版日期:2010-01-01 发布日期:2010-01-01
基金资助:
国家自然科学基金(60572125)、黑龙江省自然科学基金(A2007-11)和黑龙江省骨干教师计划项目(1151G019)资助.

Representation of the Exact Solution for Singular Boundary-value Problems of Eighth-order

MO Huan-Min, LIN Ying-Zhen

1.Department of Mathematics, Harbin Institute of Technology at Weihai, Shandong Weihai 264209|2.School of Mathematics and Sciences, Harbin Normal University, Harbin 150025

Received:2008-12-25 Revised:2009-10-09 Online:2010-01-01 Published:2010-01-01
Supported by:
国家自然科学基金(60572125)、黑龙江省自然科学基金(A2007-11)和黑龙江省骨干教师计划项目(1151G019)资助.

摘要/Abstract

摘要：

该文在再生核空间W₂⁹[0,1]中给出了求解八阶奇异边值问题的新算法. 方程的精确解以级数形式给出. 算例及数值结果验证了方法的实用性和有效性.

关键词: 八阶奇异边值问题, 常微分方程, 再生核空间

Abstract:

In this paper, a new algorithm for solving singular boundary-value problems of eighth-order is presented based on the reproducing kernel space W₂⁹[0,1]. The representation of the exact solution is given in the series form. Some examples are mentioned for the usefulness of the method. The numerical results demonstrate that our method is more effective.

Key words: Singular boundary-value problems of eighth-order, Ordinary differential equation, Reproducing kernel space

中图分类号:

34B05

么焕民, 林迎珍. 八阶奇异边值问题精确解的表达形式[J]. 数学物理学报, 2010, 30(1): 103-113.

MO Huan-Min, LIN Ying-Zhen. Representation of the Exact Solution for Singular Boundary-value Problems of Eighth-order[J]. Acta mathematica scientia,Series A, 2010, 30(1): 103-113.

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