Celestial Mechanics on a Graphing Calculator
An illustration of the Runge-Kutta 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)e2 = 1.85.
@ Copyright 2001, American Mathematical Society.