A Kind of Large-range Convergence Algorithm for Weakly Regular Singular Boundary Value Problems
一类弱奇异边值问题的大范围收敛算法

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.