Un metodo del terzo ordine per l'integrazione numerica dell'equazione differenziale ordinaria |
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Authors: | F Costabile |
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Affiliation: | 1. Istituto Matematico Università di Lecce, Lecce, Italy
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Abstract: | For the numerical integration of the ordinary differential equation $$\frac{{dy}}{{dx}} = F(x,y) y(x_0 ) = y_0 \begin{array}{*{20}c} x \\ {x_0 } \\ \end{array} \varepsilon a,b]$$ a third method utilizing only two points for every step, is determined different from the analogous Runge-Kutta method employing three points; it is useless take the first step as the «pseudo Runge-Kutta method». The truncation error is given, the convergence is proved and finally a numerical exercise is given. |
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