%0 Journal Article
%T A Kind of Large-range Convergence Algorithm for Weakly Regular Singular Boundary Value Problems<br>一类弱奇异边值问题的大范围收敛算法
%A Zhou Yongfang
%A Cui Minggen
%A <br>周永芳
%A 崔明根
%J 数学物理学报(A辑)
%D 2011
%I 
%X In this paper, the weakly regular singular boundary value problem (p(x)y')'=f(x, y), 0<≤1, with p(x)=xb0g(x), 0≤b0<1, and the boundary conditions y(0)=A, αy(1)+β y'(1)=γ, or y'(0)=0, αy(1)+βy'(1)=γ(R.K. Pandey and Arvind K. Singh presented the second order finite difference methods1] is considered. The existence of the solution and a new iterative algorithm which is large-range convergent are established for the problems in reproducing kernel space. Illustrative examples are included to demonstrate the validity and applicability of the technique through comparing the  method with the method given by R.K.Pandey and Arvind K.Singh.
%K Singular boundary value problemzz
%K Iterative methodzz
%K Existence of solutionzz
%K Reproducing kernel spacezz<br>奇异边值问题
%K 迭代方法
%K 解的存在性
%K 再生核空间
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=4DB553CDB5F521D8C921082E5C95EC80&aid=5AA2F19E8DE00ECE5F809AD1B0F19219&yid=9377ED8094509821&vid=4AD960B5AD2D111A&iid=CA4FD0336C81A37A&sid=E22B6B8FE86DD8F9&eid=D59111839E7C8BDF&journal_id=1003-3998&journal_name=数学物理学报(A辑)&referenced_num=0&reference_num=10