Abstract
We consider the stability of modified Numerov method of Jain et al [1] for the class of singular two-point boundary value problems: (or equivalently y(0) = finite)y(1)=a. An interval (0,h 1) for the mesh spacing h is obtained on which this method is stable for all satisfying .0(h 4)-convergence and stability of the modified Numerov method is illustrated by three examples.