The Adomian decomposition method for numerical solution of first-order differential equations
Abstract
In this paper, the Adomian decomposition method (ADM) is a powerful method which considers the approximate solution of a non-linear equation as an infinite series which usually converges to the exact solution. In this paper, this method is proposed to solve some first-order differential equations. It is shown that the series solutions converge to the exact solution for each problem. It is observed that the method is particularly suited for initial value problems with oscillatory and exponential solutions.
Copyright © 2016 G. Nhawu, P. Mafuta, J. Mushanyu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
G. Nhawu, P. Mafuta, J. Mushanyu, The Adomian decomposition method for numerical solution of first-order differential equations, J. Math. Comput. Sci. 6 (2016), 307–314.
BibTeX
@article{Nhawu2016,
author = {Nhawu, G. and Mafuta, P. and Mushanyu, J.},
title = {The Adomian decomposition method for numerical solution of first-order differential equations},
journal = {J. Math. Comput. Sci.},
volume = {6},
year = {2016},
pages = {307--314},
doi = {}
}