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Zbl 1072.65101
Kurnaz, Aydin; Oturanç, Galip
The differential transform approximation for the system of ordinary differential equations. (English)
[J] Int. J. Comput. Math. 82, No. 6, 709-719 (2005). ISSN 0020-7160; ISSN 1029-0265/e

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 2000:: *65L05 Initial value problems for ODE (numerical methods)
34A34 Nonlinear ODE and systems, general

Keywords: differential transformation; differential inverse transformation; system; error control; stepsize control; numerical examples

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Zentralblatt MATH Berlin [Germany]