ON A MULTISTEP METHOD
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概要
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For solving the initial value problem : y'=f(x,y), y(x_0)=y_0, stepsize=h, using the idea of quadrature formulas as in (1), for the corrector we use the later part of the formulas, which Prof. W. D. Milne used for corrector of the starting values. We compute the quadrature formulas for five to seven points in terms of ordinates. Using these formulas, we correct the starting values derived from the Runge-Kutta nethod. Moreover, at each step values are corrected by our formulas. In order to get the predictor, we use the quadrature formulas for six to eight points expressed in terms of ordinates. Numerical examples are given at the end of this paper. In this paper, we assume autonomous control of the step size. We consider the zero stability of our method.
- 九州産業大学の論文
- 1994-12-00
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