A fourth-order spline method for singular two-point boundary-value problems

This paper describes a new fourth order “spline” approximation method for the class of singular two-point boundary value problems: $$ y'' + \frac{\alpha }{x}y' + f(x,y) = 0,0 < x < 1,y'(0) = 0,y(1) = A,for\;all\;\alpha \geqslant 1 $$ .