Celestial Mechanics on a Graphing Calculator
An illustration of the RungeKutta algorithm applied
to the differential equation y' = 2y with
a step size of 1 and initial value y(0) = 1/4.
The predicted value is a linear combination, with coefficients 1/6, 2/6, 2/6, 1/6 of the values obtained by
The same computational load would buy 4 iterations of Euler's method yielding 1.265. The exact value is y(1) = (1/4)e^{2} = 1.85.

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@ Copyright 2001, American Mathematical Society.