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Stability and Accuracy of Exponential Extrapolation Method

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@article{IJASEIT225,
   author = {Asma A. Elbeleze and Bachok M. Taib},
   title = {Stability and Accuracy of Exponential Extrapolation Method},
   journal = {International Journal on Advanced Science, Engineering and Information Technology},
   volume = {2},
   number = {5},
   year = {2012},
   pages = {367--369},
   keywords = {Euler's method; exponential extrapolation method; order of accuracy; extrapolation methods; stability region},
   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.},
   issn = {2088-5334},
   publisher = {INSIGHT - Indonesian Society for Knowledge and Human Development},
   url = {http://ijaseit.insightsociety.org/index.php?option=com_content&view=article&id=9&Itemid=1&article_id=225},
   doi = {10.18517/ijaseit.2.5.225}
}

EndNote

%A Elbeleze, Asma A.
%A Taib, Bachok M.
%D 2012
%T Stability and Accuracy of Exponential Extrapolation Method
%B 2012
%9 Euler's method; exponential extrapolation method; order of accuracy; extrapolation methods; stability region
%! Stability and Accuracy of Exponential Extrapolation Method
%K Euler's method; exponential extrapolation method; order of accuracy; extrapolation methods; stability region
%X 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.
%U http://ijaseit.insightsociety.org/index.php?option=com_content&view=article&id=9&Itemid=1&article_id=225
%R doi:10.18517/ijaseit.2.5.225
%J International Journal on Advanced Science, Engineering and Information Technology
%V 2
%N 5
%@ 2088-5334

IEEE

Asma A. Elbeleze and Bachok M. Taib,"Stability and Accuracy of Exponential Extrapolation Method," International Journal on Advanced Science, Engineering and Information Technology, vol. 2, no. 5, pp. 367-369, 2012. [Online]. Available: http://dx.doi.org/10.18517/ijaseit.2.5.225.

RefMan/ProCite (RIS)

TY  - JOUR
AU  - Elbeleze, Asma A.
AU  - Taib, Bachok M.
PY  - 2012
TI  - Stability and Accuracy of Exponential Extrapolation Method
JF  - International Journal on Advanced Science, Engineering and Information Technology; Vol. 2 (2012) No. 5
Y2  - 2012
SP  - 367
EP  - 369
SN  - 2088-5334
PB  - INSIGHT - Indonesian Society for Knowledge and Human Development
KW  - Euler's method; exponential extrapolation method; order of accuracy; extrapolation methods; stability region
N2  - 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.
UR  - http://ijaseit.insightsociety.org/index.php?option=com_content&view=article&id=9&Itemid=1&article_id=225
DO  - 10.18517/ijaseit.2.5.225

RefWorks

RT Journal Article
ID 225
A1 Elbeleze, Asma A.
A1 Taib, Bachok M.
T1 Stability and Accuracy of Exponential Extrapolation Method
JF International Journal on Advanced Science, Engineering and Information Technology
VO 2
IS 5
YR 2012
SP 367
OP 369
SN 2088-5334
PB INSIGHT - Indonesian Society for Knowledge and Human Development
K1 Euler's method; exponential extrapolation method; order of accuracy; extrapolation methods; stability region
AB 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.
LK http://ijaseit.insightsociety.org/index.php?option=com_content&view=article&id=9&Itemid=1&article_id=225
DO  - 10.18517/ijaseit.2.5.225