An implicit one-step method of high-order accuracy for the numerical integration of ordinary differential equations |
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| Authors: | Minoru Urabe |
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| Affiliation: | (1) Research Institute for Mathematical Sciences, Kyoto University, Kitashirakawa Kyoto, Japan |
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| Abstract: | For a differential equationdx/dt=f(t, x) withft(t, x),fx(t, x) computable, the author presents a new one-step method of high-order accuracy. A rule of controlling the mesh size is given and the method is compared with the Runge-Kutta method in two numerical examples.Dedicated to Professor Dr. Dr. h. c. L. Collatz for his 60th birthday |
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