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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 construc ted 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.

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