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Modified Runge-Kutta-Fehlberg methods for periodic initial-value problems

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Abstract

Some modified Runge-Kutta Fehlberg methods are developed. It should be noted that these methods are produced using the Runge-Kutta Fehlberg method with algebraic order five and six. The numerical results indicate that these new methods are more efficient than other Runge-Kutta methods for the numerical solution of differential equations with periodical solution.

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Simos, T.E. Modified Runge-Kutta-Fehlberg methods for periodic initial-value problems. Japan J. Indust. Appl. Math. 12, 109–122 (1995). https://doi.org/10.1007/BF03167384

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  • DOI: https://doi.org/10.1007/BF03167384

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