DERIVATION OF A CLASS OF HYBRID ADAMS MOULTON METHOD WITH CONTINOUS COEFFICIENTS

Abstract

This research work is focused on the derivation of both the continuous and discrete models of the hybrid Adams Moulton method for step number k =1 and k = 2. These formulations incorporate both the off – grid interpolation and off- grid collocation schemes. The convergence analysis reveals that derived schemes are zero stable, of good order and error constants which by implication shows that the schemes are consistent.

Keywords: Hybrids Schemes, Adams Methods, Linear K–Step Method, Consistency, Zero Stable