INITIAL VALUE PROBLEMS FOR NONLINEAR DIFFERENTIAL EQUATIONS SOLVED BY DIFFERENTIAL TRANSFORM METHOD

Mircea Cîrnu and Flavia-Dalia Frumosu
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Mircea Cîrnu: Faculty of Applied Sciences, University “Politehnica” of Bucharest
Flavia-Dalia Frumosu: Faculty of Applied Sciences, University “Politehnica” of Bucharest

Journal of Information Systems & Operations Management, 2009, vol. 3, issue 1, 102-107

Abstract: The notion of differential transform was firstly introduced and applied to electrical circuits by J. Zhou, [4]. In the present paper we apply the differential transform method to solve initial values problems for nonlinear differential equations. This method can be easy implemented on the computer because of the recurrence relation established. The chosen example in this paper is proved to have an exact solution. A Maple program is also included. The nonlinear differential equation solved here for a initial value problem was also solved in the papers [2] and [3] for some boundary value problems.

Keywords: Nonlinear differential equations; initial value problems; differential transform method (search for similar items in EconPapers)
Date: 2009
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