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Solution of Second-Order IVP and BVP of Matrix Differential Models Using Matrix DTM
Joint Authors
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-14
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Abazari, Reza& Kiliçman, Adem. 2012. Solution of Second-Order IVP and BVP of Matrix Differential Models Using Matrix DTM. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-494758
Modern Language Association (MLA)
Abazari, Reza& Kiliçman, Adem. Solution of Second-Order IVP and BVP of Matrix Differential Models Using Matrix DTM. Abstract and Applied Analysis No. 2012 (2012), pp.1-11.
https://search.emarefa.net/detail/BIM-494758
American Medical Association (AMA)
Abazari, Reza& Kiliçman, Adem. Solution of Second-Order IVP and BVP of Matrix Differential Models Using Matrix DTM. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-494758
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-494758