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

Authors

  • E. U Agom Department of Mathematics University of Calabar Calabar Nigeria
  • F. O Ogunfiditimi Department of Mathematics University of Abuja Abuja Nigeria
  • Edet Valentine Bassey Department of Mathematics University of Calabar Calabar Nigeria

DOI:

https://doi.org/10.18488/journal.24.2017.62.53.59

Keywords:

Stiff differential equations, Adomian decomposition method, Lobatto-Runge-Kutta collocation method

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.

Downloads

Published

2017-12-18

Issue

Vol. 6 No. 2 (2017)

Section

Articles

How to Cite

Lobatto-Runge-Kutta Collocation and Adomian Decomposition Methods on Stiff Differential Equations. (2017). International Journal of Mathematical Research, 6(2), 53-59. https://doi.org/10.18488/journal.24.2017.62.53.59