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A Runge-Kutta Nyström algorithm

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Abstract

A Runge-Kutta algorithm of order five is presented for the solution of the initial value problem where the system of ordinary differential equations is of second order and does not contain the first derivative. The algorithm includes the Fehlberg step control procedure.

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References

  • Fehlberg, E.: 1964,Z. Angew. Math. Mech. 44.

  • Fehlberg, E.: 1969, NASA TR R-315.

  • Fehlberg, E.: 1972, NASA TR R-381.

  • Hull, T. E.et al.: 1972, Technical Report No. 29, Dept. of Computer Science, University of Toronto.

  • Nyström, E. J.: 1925,Acta Soc. Sci. Fenn. 50, No. 13.

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Authors and Affiliations

  1. Dept. of Aerospace Engineering and Engineering Mechanics, The University of Texas, Austin, Tex., USA

    D. G. Bettis

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  1. D. G. Bettis
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Bettis, D.G. A Runge-Kutta Nyström algorithm. Celestial Mechanics 8, 229–233 (1973). https://doi.org/10.1007/BF01231421

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  • DOI: https://doi.org/10.1007/BF01231421

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