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...
Saved in:
| Main Authors: | , |
|---|---|
| 格式: | Article |
| 語言: | English |
| 出版: |
Hindawi Publishing Corporation
2012
|
| 在線閱讀: | 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/ |
| 標簽: |
添加標簽
沒有標簽, 成為第一個標記此記錄!
|
| 總結: | 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. |
|---|