A Four-Step Block Hybrid Adams-Moulton Methods For The Solution of First Order Initial Value Problems In ODEs

Abstract

This paper examines application of the Adam-Moulton’s Method and proposes a modified self-starting continuous formula Called hybrid Adams-Moulton methods for the case k=4. It allows evaluation at both grid and off grid points to obtain the discrete schemes used in the block methods. The order, error constant and region of absolute stability of the schemes were analyzed and plotted. Also the derived method was tested on stiff and non stiff problems to ascertain its efficiency.