Abstract
A Runge-Kutta algorithm for nth order initial value problem (IVP), x ( n) ( t) = f( t, x, x′,…, x ( n−1) , t > t 0, with x( t 0), x ( r) ( t 0) given ( r = 1,2,…, n −1), is developed by means of the algorithm used for the first-order IVP. As an example, the method is tested on a fourth-order IVP involving nonlinear terms and on a linear fourth-order problem from ship dynamics.
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