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 (EMsDTM)
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
