Using reproducing kernel for solving a class of singular weakly nonlinear boundary value problems

  • Authors:

  • Yulan Wang;Temuer Chaolu;Zhong Chen

  • Affiliations:

  • Department of Mathematics, Inner Mongolia University of Technology, Hohhot, People's Republic of China;Institute of Applied Mathematics and Physics of Shanghai Maritime University, Shanghai, People's Republic of China,Department of Mathematics, Inner Mongolia University of Technology, Hohhot, Peopl ...;Department of Mathematics, Harbin Institute of Technology, WeiHai, ShanDong, People's Republic of China

  • Venue:
  • International Journal of Computer Mathematics
  • Year:
  • 2010

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Abstract

Cui et al. [M. Cui and F. Geng, Solving singular two point boundary value problems in reproducing kernel space, J. Comput. Appl. Math. 205 (2007), pp. 6-15; H. Yao and M. Cui, A new algorithm for a class of singular boundary value problems, Appl. Math. Comput. 186 (2007), pp. 1183-1191] presents an algorithm to solve a class of singular linear boundary value problems in the reproducing kernel space. In this paper, we will present three new algorithms to solve a class of singular weakly nonlinear boundary value problems in reproducing kernel space. The algorithms are efficiently applied to solving some model problems. It is demonstrated by the numerical examples that those algorithms are highly accurate.