@article {10.3844/ajassp.2015.304.320,
article_type = {journal},
title = {A Comparison of Explicit Semi-Analytical Numerical Integration Methods for Solving Stiff ODE Systems},
author = {El-Zahar, E.R. and Habib, H.M. and Rashidi, M.M. and El-Desoky, I.M.},
volume = {12},
year = {2015},
month = {Jun},
pages = {304-320},
doi = {10.3844/ajassp.2015.304.320},
url = {https://thescipub.com/abstract/ajassp.2015.304.320},
abstract = {In this study, a comparison among three semi-analytical numerical integration algorithms for solving stiff ODE systems is presented. The algorithms are based on Differential Transform Method (DTM) which are Multiple-Step DTM (MsDTM), Enhanced MsDTM (E-MsDTM) and MsDTM with Padé approximants (MsDTM-P). These methods can be classified as explicit one step semi-analytical numerical integration methods. The error and stability analysis of each method is presented. New important relationships among the methods are introduced. To demonstrate our results, a comparison of the accuracy, stability and computational efficiency of the methods is presented through solving some linear and nonlinear problems arising in applied science and engineering.},
journal = {American Journal of Applied Sciences},
publisher = {Science Publications}
}