Stability and Accuracy of Exponential Extrapolation Method

Abstract

The stability of a numerical methods is important consideration that must be considered when solving ODEs, where Since the extrapolation methods are best away to get a high-accuracy solution of ODEs. In this paper we studied the stability and accuracy of the exponential extrapolation method which is in the form of y=Aeαh where A and α are constant to be determined using least square fitting.  We gave example to explain the accuracy of this method and we explained that the stability region of exponential extrapolation method always inside the | 1+ z | ≤ 1.