Solution of second-order IVP and BVP of matrix differential models using matrix DTM
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 cond...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Publishing Corporation
2012
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| Online Access: | http://psasir.upm.edu.my/id/eprint/25277/1/25277.pdf http://psasir.upm.edu.my/id/eprint/25277/ https://www.hindawi.com/journals/aaa/2012/738346/abs/ |
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| Summary: | 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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