Stability and Accuracy of Exponential Extrapolation Method

Asma A. Elbeleze, Bachok M. Taib
2012 International Journal on Advanced Science, Engineering and Information Technology  
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=Ae αh 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
more » ... bility region of exponential extrapolation method always inside the | 1+ z | ≤ 1.
doi:10.18517/ijaseit.2.5.225 fatcat:g7ccdwdxz5et5azxm3tg4f7d7y