Keyword Search:


Bookmark and Share

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

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

[img] PDF (Abstract)
283Kb

Official URL: https://www.hindawi.com/journals/aaa/2012/738346/a...

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.

Item Type:Article
Keyword:Matrix boundary value problems; Second-order matrix differential equations
Faculty or Institute:Faculty of Science
Publisher:Hindawi Publishing Corporation
DOI Number:10.1155/2012/738346
Altmetrics:http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2012/738346
ID Code:25277
Deposited By: Nur Farahin Ramli
Deposited On:26 Nov 2013 09:19
Last Modified:23 Nov 2016 09:55

Repository Staff Only: Edit item detail

Document Download Statistics

This item has been downloaded for since 26 Nov 2013 09:19.

View statistics for "Solution of second-order IVP and BVP of matrix differential models using matrix DTM"