Solution of Second‐Order IVP and BVP of Matrix Differential Models Using Matrix DTM | Zendy

Reza Abazari | Zendy; Adem Kılıçman | Zendy

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

Author(s) -

Reza Abazari,

Adem Kılıçman

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/738346

Subject(s) - mathematics , boundary value problem , matrix (chemical analysis) , convergence (economics) , initial value problem , order (exchange) , mathematical analysis , pure mathematics , materials science , finance , economics , composite material , economic growth

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 ()=(,(),()) and subject to initial conditions ()=0,()=1 and boundary conditions ()=0,()=1, where 0,1∈×. Also the convergence of present method is established. Several illustrative examples are given to demonstrate the effectiveness of the present method

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