CONVERGENCE PROPERTIES OF THE MODIFIED NUMEROV RELATED BLOCK METHODSJournal: Academic Research International (Vol.4, No. 1)
Publication Date: 2013-01-15
Authors : Y.S Awari; A.A Abada;
Page : 383-390
Keywords : Stiffness ratio; Explicit matching; Non-overlapping Sub-Intervals; Block methods;
In this paper, we derived the modified 3-point Numerov block method from multistep collocation involving off-step interpolation point x_(n+1/2).The methods were derived for solution of second order initial value problems (IVP’s). The single continuous formulation is evaluated at x_(n+i),i=2 and its first derivative evaluated at x=x_n while its second derivative evaluated at x=x_(n+i),i=1?2. 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.
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