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An eighth order Runge-Kutta process with eleven function evaluations per step

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Summary

The system of algebraic equations whose solution defines an eighth order Runge-Kutta process is examined. A solution is found involving only eleven stages, and stated explicitly. Some results of test solutions of a system of differential equations using a program incorporating the coefficients given by the above solution are presented.

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Curtis, A.R. An eighth order Runge-Kutta process with eleven function evaluations per step. Numer. Math. 16, 268–277 (1970). https://doi.org/10.1007/BF02219778

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  • DOI: https://doi.org/10.1007/BF02219778

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