Abstract and Applied Analysis

Solution of Second-Order IVP and BVP of Matrix Differential Models Using Matrix DTM

Reza Abazari and Adem Kılıcman

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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 ) = u 0 , u ( a ) = u 1 and boundary conditions u ( a ) = u 0 , u ( b ) = u 1 , where u 0 , u 1 R r × q . Also the convergence of present method is established. Several illustrative examples are given to demonstrate the effectiveness of the present method.

Article information

Source
Abstr. Appl. Anal., Volume 2012 (2012), Article ID 738346, 11 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1355495711

Digital Object Identifier
doi:10.1155/2012/738346

Mathematical Reviews number (MathSciNet)
MR2922942

Zentralblatt MATH identifier
1242.65268

Citation

Abazari, Reza; Kılıcman, Adem. Solution of Second-Order IVP and BVP of Matrix Differential Models Using Matrix DTM. Abstr. Appl. Anal. 2012 (2012), Article ID 738346, 11 pages. doi:10.1155/2012/738346. https://projecteuclid.org/euclid.aaa/1355495711


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