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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Hindawi Publishing Corporation
2012
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| Online Access: | http://psasir.upm.edu.my/id/eprint/25277/1/25277.pdf |
| _version_ | 1796970726959349760 |
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| author | Abazari, Reza Kilicman, Adem |
| author_facet | Abazari, Reza Kilicman, Adem |
| author_sort | Abazari, Reza |
| collection | UPM |
| 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. |
| first_indexed | 2024-03-06T08:02:21Z |
| format | Article |
| id | upm.eprints-25277 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T08:02:21Z |
| publishDate | 2012 |
| publisher | Hindawi Publishing Corporation |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Abazari, Reza Kilicman, Adem Solution of second-order IVP and BVP of matrix differential models using matrix DTM |
| title | 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_short | 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 |
| url | http://psasir.upm.edu.my/id/eprint/25277/1/25277.pdf |
| work_keys_str_mv | AT abazarireza solutionofsecondorderivpandbvpofmatrixdifferentialmodelsusingmatrixdtm AT kilicmanadem solutionofsecondorderivpandbvpofmatrixdifferentialmodelsusingmatrixdtm |