In theory of economics most models describing economic growth use differential equations. The Solow's and Haavelmo's models should be mentioned.
However, in the moment of trial of their use by econometricians many questions arise. First, economic data are presented in discrete form what forces using of difference equations. Second, transition from continuous form to the discrete in order to estimate its parameters is still discussive. It has been observed for some times that standard (classical) discretization methods of differential equations often produce difference equations that do not share their dynamics (for example produce chaotic behavior).
The essence of mentioned problems and proposal of their solution will be presented on the example of the Goodwin's Growth Cycle model.

1. FULLTEXT: Non-standard method of discretization on the example of Goodwin's Growth Cycle Model, Microsoft Office Document, 0.3MB

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