Abstract

In this paper, self starting hybrid block method of order (4,3,3)^T is proposed for the solution of general second order initial value problem of the form Y” = f (x, y, y’) directly without reducing it to first systems of odes. The continuous formation of the integrator enable us to differentiate and evaluate at some grids and off-grid points to take care of y^’ in the method. The schemes compare favorably with optimal order four (Fatunla Based) proposed in Yahaya (2004). There is anticipated speed up of computation as a result of admissible parallelism across the method.

Key words: General second order, initial value problems, parallel/block method, hybrid, self starting.