International Journal of Mathematical Research 2311-7427 2306-2223 10.18488/journal.24.2017.62.53.59 International Journal of Mathematical Research Lobatto-Runge-Kutta Collocation and Adomian Decomposition Methods on Stiff Differential Equations International Journal of Mathematical Research International Journal of Mathematical Research 02-2017 2017 02-2017 02-2017 6 2 53 59 20 Jun 2017 28 Dec 2017 <div style="text-align: justify;"><span style="font-size: 12px; float: none;">In this paper, we show the parallel of Adomian Decomposition Method (ADM) and Lobatto-Runge-Kutta Collocation Method (LRKCM) on first order initial value stiff differential equations. The former method provided closed form solutions while the latter gave approximate solutions. We illustrated these findings in two numerical examples. ADM solutions were in series form while those of LRKCM gave sizeable absolute error. We further visualized our findings in respective plots to show the great potentials of ADM over LRKCM in providing analytical solutions to stiff differential equations.</span></div>