Numerical experiment with the embedded Runge-Kuta formulae of the 6th order to the 5th order


Marcela LascsakovaVladimir Penjak


Abstract

carpathian_2004_20_067_072_abstract

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carpathian_2004_20_067_072

In this paper we devote oneself to the numerical experiment with the embedded Runge-Kutta formulae of the 6th order to the 5th order. We deal with an influence of changing maximum allowable local errors and inserting either yn or yn to the embedded formulae on the accuracy of the approximate solution. We try to verify an advantage of using empirically deriving constant. The numerical solutions of two particular examples by using programming language Pascal are shown.

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Author(s)

Lascsakova, Marcela, Penjak, Vladimir