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Embedded Runge-Kutta methods for periodic initial-value problems

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  • Simos, T.E.

Abstract

Some embedded Runge-Kutta methods with minimal phase-lag for second-order periodic initial-value problems are developed. It should be noted that these embedded methods are based on the Runge-Kutta methods of algebraic order three, and on a new error estimation introduced in this paper. The numerical results indicate that these new methods are efficient for the numerical solution of differential equations with periodical solution, using variable step-size.

Suggested Citation

  • Simos, T.E., 1993. "Embedded Runge-Kutta methods for periodic initial-value problems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 35(5), pages 387-395.
    • Handle: RePEc:eee:matcom:v:35:y:1993:i:5:p:387-395
    DOI: 10.1016/0378-4754(93)90040-2
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