Department of Mathematics, University Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia
Copyright © 2011 Che Haziqah Che Hussin and Adem Kiliçman. 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.
We study higher-order boundary value problems
(HOBVP) for higher-order nonlinear differential equation. We make comparison
among differential transformation method (DTM), Adomian decomposition
method (ADM), and exact solutions. We provide several examples in
order to compare our results. We extend and prove a theorem for nonlinear
differential equations by using the DTM. The numerical examples show
that the DTM is a good method compared to the ADM since it is effective,
uses less time in computation, easy to implement and achieve high accuracy. In
addition, DTM has many advantages compared to ADM since the calculation of
Adomian polynomial is tedious. From the numerical results, DTM is suitable
to apply for nonlinear problems.