A CLASS OF IMPLICIT FIVE STEP BLOCK METHOD FOR GENERAL SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS

Abstract

In this Paper, we extend the idea of collocation of linear multistep methods to develop a uniform Order 4 5step block methods. The single continuous formulation derived is evaluated at grid points of x = xn+j, j = 5 and its second derivative was also evaluated at some grid points, x = xn+j, j = 2,3, 4 yielded the multi discrete schemes that form a Self starting uniform order 4 block methods. Two Numerical examples were used to demonstrate the efficiency of the methods