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

被引：47
|
作者：
Wang, Yulan [1 ]
Chaolu, Temuer [1 ,3 ]
Chen, Zhong [2 ]
机构：
[1] Inner Mongolia Univ Technol, Dept Math, Hohhot, Peoples R China
[2] Harbin Inst Technol, Dept Math, Weihai, Shandong, Peoples R China
[3] Shanghai Maritime Univ, Inst Appl Math & Phys, Shanghai, Peoples R China
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2010年 / 87卷 / 02期
关键词：
exact solution; approximate solution; singular boundary value problem; weakly nonlinear problems; reproducing kernel space; TAGE ITERATIVE METHOD; DIFFERENTIAL-EQUATIONS; POSITIVE SOLUTIONS; DISCRETIZATION; SPLINE; FAMILY;
D O I：
10.1080/00207160802047640
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：367 / 380
页数：14
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