A Class of Six Step Block Method for Solution of General Second Order Ordinary Differential Equations.

Abstract

In this paper, self starting block method of order (7, 7, 7, 7, 7, 7) is proposed for the solution of general second order initial value problem of the form second order directly without reducing it to first systems of odes. The continuous formation of the integrator enable us to differentiate and evaluate at some grids 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.