A Two Step Lo- Stable Second Derivative Hybrid Block Method for Solution of Still Initial Value Problems

We present a two step Lo-stable second derivative hybrid block method of order eight for the direct solution of still Initial Value Problems (IVPs). The main method and additionalmethods are obtained from the same continuous scheme derived using interpolation and collocation technique to form the block method. The stability properties of the block methodis discussed via a single matrix equation. The methods simultaneously integrate the still IVPs over non-overlapping intervals. Numerical results obtained using the proposed second derivative hybrid block method reveal that it compares favorably well with existing methods in the literature.