The Introduction of Extrapolated Block Adams Moulton Methods for Solving First-order Delay Differential Equations

Abstract

In this paper, the discrete schemes of extrapolated block Adams Moulton methods were obtained through the continuous formulation of the linear multistep collocation method by matrix inversion approach for the numerical solutions of first-order delay differential equations (DDEs) without the use of interpolation techniques in evaluating the delay term. The delay term was computed by a valid idea of sequence. The advantages, convergence, stability analysis, and central processing unit time at a constant step size bof the proposed method over other existing methods are pointed out.