Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (1): 103-113.

• Articles • Previous Articles     Next Articles

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

MO Huan-Min, LIN Ying-Zhen   

  1. 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.

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

CLC Number: 

  • 34B05
Trendmd