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Solution of second-order IVP and BVP of matrix differential models using matrix DTM


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 / Synopsis

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: 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 09:19
Last Modified: 19 Oct 2017 14:07
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
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