Lobatto-Runge-Kutta Collocation and Adomian Decomposition Methods on Stiff Differential Equations

E. U Agom (), F. O Ogunfiditimi () and Edet Valentine Bassey ()

International Journal of Mathematical Research, 2017, vol. 6, issue 2, 53-59

Abstract: 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.

Keywords: Stiff differential equations; Adomian decomposition method; Lobatto-Runge-Kutta collocation method (search for similar items in EconPapers)
Date: 2017
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