Citation
Abazari, Reza and Kilicman, Adem
(2012)
Solution of second-order IVP and BVP of matrix differential models using matrix DTM.
Abstract and Applied Analysis, 2012.
art. no. 738346.
pp. 1-11.
ISSN 1085-3375; ESSN: 1687-0409
Abstract
We introduce a matrix form of differential transformation method (DTM) and apply for nonlinear second-order initial value problems (IVPs) and boundary value problems (BVPs) of matrix models which are given by u′′(t)=f(t,u(t),u′(t)) and subject to initial conditions u(a)=u0,u′(a)=u1 and boundary conditions u(a)=u0,u(b)=u1, where u0, u1∈Rr×q. Also the convergence of present method is established. Several illustrative examples are given to demonstrate the effectiveness of the present method.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science |
| DOI Number: | https://doi.org/10.1155/2012/738346 |
| Publisher: | Hindawi Publishing Corporation |
| Keywords: | Matrix boundary value problems; Second-order matrix differential equations |
| Depositing User: | Nur Farahin Ramli |
| Date Deposited: | 26 Nov 2013 01:19 |
| Last Modified: | 19 Oct 2017 06:07 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2012/738346 |
| URI: | http://psasir.upm.edu.my/id/eprint/25277 |
| Statistic Details: | View Download Statistic |
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