Citation
Kilicman, Adem and Che Hussin, Che Haziqah
(2011)
On the solutions of nonlinear higher-order boundary value problems by using differential transformation method and adomian decomposition method.
Mathematical Problems in Engineering, 2011 (724927).
pp. 1-19.
ISSN 1024-123X
Abstract
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.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science |
| DOI Number: | https://doi.org/10.1155/2011/724927 |
| Publisher: | Hindawi Publishing Corporation |
| Keywords: | Differential transform method; Nonlinear higher-order boundary value; Adomian decomposition method. |
| Depositing User: | Nur Farahin Ramli |
| Date Deposited: | 27 Aug 2013 03:31 |
| Last Modified: | 22 Sep 2015 02:35 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2011/724927 |
| URI: | http://psasir.upm.edu.my/id/eprint/24863 |
| Statistic Details: | View Download Statistic |
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