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

Reza Abazari and Adem Kılıcman

Abstract and Applied Analysis, 2012, vol. 2012, 1-11

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 ð ® î…ž î…ž ( ð ‘¡ ) = ð ‘“ ( ð ‘¡ , ð ® ( ð ‘¡ ) , ð ® î…ž ( ð ‘¡ ) ) and subject to initial conditions ð ® ( ð ‘Ž ) = ð ® 0 , ð ® î…ž ( ð ‘Ž ) = ð ® 1 and boundary conditions ð ® ( ð ‘Ž ) = ð ® 0 , ð ® ( ð ‘ ) = ð ® 1 , where ð ® 0 , ð ® 1 ∈ ð ‘… ð ‘Ÿ × ð ‘ž . Also the convergence of present method is established. Several illustrative examples are given to demonstrate the effectiveness of the present method.

Date: 2012
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/AAA/2012/738346.pdf (application/pdf)
http://downloads.hindawi.com/journals/AAA/2012/738346.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:738346

DOI: 10.1155/2012/738346

Access Statistics for this article

More articles in Abstract and Applied Analysis from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().