The differential transform approximation for the system of ordinary differential equations. (English) Zbl 1072.65101
Summary: We present a comparative study of the differential transformation for solving systems of linear or nonlinear ordinary differential equations. A remarkable practical feature of this method is its ability to solve the system of linear or nonlinear differential equations efficiently. This method also enables us to control the truncation error by adjusting the step size used in the numerical scheme. We apply our results to some initial value problems to demonstrate the ability of the method to solve systems of differential equations.
MSC:
| 65L05 | Numerical methods for initial value problems involving ordinary differential equations |
| 34A34 | Nonlinear ordinary differential equations and systems |
Keywords:
differential transformation; differential inverse transformation; system; error control; stepsize control; numerical examplesReferences:
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