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

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 cond...

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Main Authors: Abazari, Reza, Kilicman, Adem
Format: Article
Language:English
Published: Hindawi Publishing Corporation 2012
Online Access:http://psasir.upm.edu.my/id/eprint/25277/1/25277.pdf
http://psasir.upm.edu.my/id/eprint/25277/
https://www.hindawi.com/journals/aaa/2012/738346/abs/
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spelling my.upm.eprints.252772017-10-19T06:07:00Z http://psasir.upm.edu.my/id/eprint/25277/ Solution of second-order IVP and BVP of matrix differential models using matrix DTM Abazari, Reza Kilicman, Adem 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. Hindawi Publishing Corporation 2012 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/25277/1/25277.pdf 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 https://www.hindawi.com/journals/aaa/2012/738346/abs/ 10.1155/2012/738346
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description 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.
format Article
author Abazari, Reza
Kilicman, Adem
spellingShingle Abazari, Reza
Kilicman, Adem
Solution of second-order IVP and BVP of matrix differential models using matrix DTM
author_facet Abazari, Reza
Kilicman, Adem
author_sort Abazari, Reza
title Solution of second-order IVP and BVP of matrix differential models using matrix DTM
title_short Solution of second-order IVP and BVP of matrix differential models using matrix DTM
title_full Solution of second-order IVP and BVP of matrix differential models using matrix DTM
title_fullStr Solution of second-order IVP and BVP of matrix differential models using matrix DTM
title_full_unstemmed Solution of second-order IVP and BVP of matrix differential models using matrix DTM
title_sort solution of second-order ivp and bvp of matrix differential models using matrix dtm
publisher Hindawi Publishing Corporation
publishDate 2012
url http://psasir.upm.edu.my/id/eprint/25277/1/25277.pdf
http://psasir.upm.edu.my/id/eprint/25277/
https://www.hindawi.com/journals/aaa/2012/738346/abs/
_version_ 1643828613252907008
score 13.211869

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