Numerical Solution of Ordinary Differential Equations (ODES) from Reformulated block 3-step Adams Bashforth method

Abstract

In this paper, efficient AdamsBashforth Runge-Kutta (ABRK) method are constructed.This is achieved by reformulating the block AdamsBashforth methods as a class of Runge-Kutta methods for 3-step.The reformulated methods are of orders 4 and their absolute stability regions constructed are shown to be A-Stable.The newly constructed methods are tested on non stiff initial value problems and the solution reveals that the the methods are efficient.