Abstract
We propose a class of s-stage hybrid Runge–Kutta methods for solving ordinary differential equations and study their order conditions and numerical stability property. Examples of second-, third-, and fifth-order hybrid Runge–Kutta methods are given. Numerical experiments are conducted to demonstrate the efficiency of the proposed methods.
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Acknowledgements
The work is partially supported by the National Natural Science Foundation of China under Grant Nos. 11671266 and 11871343.
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Communicated by Jose Alberto Cuminato.
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Liu, Z., Hu, J. & Tian, H. Hybrid Runge–Kutta methods for ordinary differential equations. Comp. Appl. Math. 39, 176 (2020). https://doi.org/10.1007/s40314-020-01214-7
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DOI: https://doi.org/10.1007/s40314-020-01214-7