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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.
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