Correction method and extrapolation method for singular two-point boundary value problems (Q5928288)

The paper deals with the singular two-point boundary value problem NEWLINE\[NEWLINEx^{-\alpha}(x^\alpha u')'=f(x,u),\quad 0<x<1,\tag{1}NEWLINE\]NEWLINE NEWLINE\[NEWLINEu'(0^+)=0,\quad u(1)=A.\tag{2}NEWLINE\]NEWLINE The authors study the construction of three-point finite-difference approximation and spline approximation for (1), (2) with \(\alpha \geq 1\).