Solution of second-order IVP and BVP of matrix differential models using matrix DTM
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
Official URL: https://www.hindawi.com/journals/aaa/2012/738346/a...
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.
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