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

Mircea Cîrnu and Flavia-Dalia Frumosu
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Mircea Cîrnu: University Politehnica of Bucharest
Flavia-Dalia Frumosu: University Politehnica of Bucharest

Journal of Information Systems & Operations Management, 2009, vol. 3, issue 2, 381-387

Abstract: In the paper [2] we presented how can solve initial value problems for non-linear differential equations using the differential transform. We did this by solving in a rigorous way, based on mathematically induction, an example taken from the paper [3]. Here present the same for another example taken from the paper [3]. In [3] and also in [6] and respective [4], these examples was solved as boundary value problems. The chosen example is proved to have an exact solution. A Maple program is also included.

Keywords: Nonlinear differential equations; initial value problems; differential transform method. (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:rau:jisomg:v:3:y:2009:i:2:p:378-384

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