The Approximation of One Step Block Approach for Simulation of Second Order Oscillatory Differential Equations

The approximation of the one step block method using the Linear Block approach (LBA) for simulation of second order oscillatory differential equations was examined in this research.

The basic properties of the new method were also analyzed and satisfied. Some distinct second order oscillatory differential equations were directly applied on the new method, the results obtained were compared with those in literature and the accuracy of the new method proved to be better as it outperformed those of existing methods. One of the advantage of the new method is that it does not require much computational burden and it is also self-starting.