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OALib Journal期刊
ISSN: 2333-9721
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CONVERGENCE PROPERTIES OF THE MODIFIED NUMEROV RELATED BLOCK METHODS

Keywords: Stiffness ratio , Explicit matching , Non-overlapping Sub-Intervals , Block methods.

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Abstract:

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.

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