A Class Of Block Hybrid Adams Moulton Implicit Runge-Kutta (Bhamirk) Methods for Stiff Ordinary Differential Equations

Abstract

This paper focuses on the reformulation of BHAM members previously constructed as Block Hybrid Adams Moulton Implicit Runge-kutta (BHAMIRK) methods in pursuance of the one step approach. These methods involve three-stages with collocation at previous mesh points and are shown to be A-stable,a stability requirement of multistep methods suitable for solving stiff Ordinary Differential Equations. Numerical results of experiments conducted using the BHAMIRK and BHAM members of the same step and order reveals a favorable comparison between them.