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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

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