Higher order composition Runge-Kutta methods

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Published: Sep 30, 2008
DOI: https://doi.org/10.5556/j.tkjm.39.2008.12

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D. J. L. Chen
J. C. Chang
C. H. Cheng

Abstract

We derive a fifth order five-stage explicit Runge-Kutta composition method, and an error estimator using  linear combination of stage values and output values over two steps. Numerical results presented by testing the new pair over DETEST problems show a significant improvement.

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How to Cite
Chen, D. J. L., Chang, J. C., & Cheng, C. H. (2008). Higher order composition Runge-Kutta methods. Tamkang Journal of Mathematics, 39(3), 199–211. https://doi.org/10.5556/j.tkjm.39.2008.12
Issue
Vol. 39 No. 3 (2008)
Section
Papers
Author Biographies

D. J. L. Chen

Department of Business Administration, Ling Tung University, Taichung, Taiwan

J. C. Chang

Department of Information Technology, Ling Tung University, Taichung, Taiwan.

C. H. Cheng

Department of Information Management, National Yunlin University of Science and Technology, Yunlin, Taiwan.