Abstract
Runge–Kutta (RK) methods are one-step methods composed of a number of stages. A weighted average of the slopes (f) of the solution computed at nearby points is used to determine the solution at t = t n+1 from that at t = t n . Euler’s method is the simplest such method and involves just one stage.
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Bibliography
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Griffiths, D.F., Higham, D.J. (2010). Runge–Kutta Method—I: Order Conditions. In: Numerical Methods for Ordinary Differential Equations. Springer Undergraduate Mathematics Series. Springer, London. https://doi.org/10.1007/978-0-85729-148-6_9
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DOI: https://doi.org/10.1007/978-0-85729-148-6_9
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