A multi-integral method for a class of singular two-point boundary value problems

This paper aims to investigate a class of(weakly) singular two-point bounda ry value problems x(-alpha)(x(alpha)y')' =f (x,y), 0 < x <less than or equa l to> 1, and alpha is an element of R. We apply multi-integral methods to s olve these problems. Bounds of sup \f(y)\ which provide the rate of converg ence of the iterative sequence are obtained for various values of alpha. So me numerical results are presented to display the performance of these meth ods.