%0 Journal Article %T CONVERGENCE PROPERTIES OF THE MODIFIED NUMEROV RELATED BLOCK METHODS %A Y.S %A Awari %A A.A %A Abada %J Academic Research International %D 2013 %I %X In this paper, we derived the modified 3-point Numerov block method from multistep collocation involving off-step interpolation point /.The methods were derived for solution of second order initial value problems (IVP¡¯s). The single continuous formulation is evaluated at , = 2 and its first derivative evaluated at = while its second derivative evaluated at = , = 12. The combination of the discrete schemes results in a block method which is tested on non- stiff problem at h=0.1 to demonstrate its efficiency. %K Stiffness ratio %K Explicit matching %K Non-overlapping Sub-Intervals %K Block methods. %U http://www.savap.org.pk/journals/ARInt./Vol.4(1)/2013(4.1-41).pdf