TY  - JOUR
AU  - El-Zahar, E.R. 
AU  - Habib, H.M. 
AU  - Rashidi, M.M. 
AU  - El-Desoky, I.M. 
PY  - 2015
TI  - A Comparison of Explicit Semi-Analytical Numerical Integration Methods for Solving Stiff ODE Systems
JF  - American Journal of Applied Sciences
VL  - 12
IS  - 5
DO  - 10.3844/ajassp.2015.304.320
UR  - https://thescipub.com/abstract/ajassp.2015.304.320
AB  - 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.