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Journal of Applied Mathematics
Volume 2012, Article ID 236281, 27 pages
http://dx.doi.org/10.1155/2012/236281
Research Article

A New Family of Phase-Fitted and Amplification-Fitted Runge-Kutta Type Methods for Oscillators

1Department of Applied Mathematics, Nanjing Agricultural University, Nanjing 210095, China
2State Key Laboratory for Novel Software Technology at Nanjing University, Nanjing 210093, China
3Department of Computer Science and Engineering, Shanghai Jiaotong University, Shanghai 200240, China

Received 19 April 2012; Revised 17 July 2012; Accepted 23 July 2012

Academic Editor: Jesus Vigo-Aguiar

Copyright © 2012 Zhaoxia Chen et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [4 citations]

The following is the list of published articles that have cited the current article.

  • Yanwei Zhang, Haitao Che, Yonglei Fang, and Xiong You, “A New Trigonometrically Fitted Two-Derivative Runge-Kutta Method for the Numerical Solution of the Schrodinger Equation and Related Problems,” Journal of Applied Mathematics, 2013. View at Publisher · View at Google Scholar
  • N. A. Ahmad, N. Senu, and F. Ismail, “Phase-Fitted and Amplification-Fitted Higher Order Two-Derivative Runge-Kutta Method for the Numerical Solution of Orbital and Related Periodical IVPs,” Mathematical Problems in Engineering, vol. 2017, pp. 1–11, 2017. View at Publisher · View at Google Scholar
  • Ruqiang Zhang, Julius Osato Ehigie, Xilin Hou, Xiong You, and Chunlu Yuan, “Steady-State-Preserving Simulation of Genetic Regulatory Systems,” Computational and Mathematical Methods in Medicine, vol. 2017, pp. 1–16, 2017. View at Publisher · View at Google Scholar
  • Higinio Ramos, “Formulation and analysis of a class of direct implicit integration methods for special second-order I.V.P.s in predictor-corrector modes,” SEMA SIMAI Springer Series, vol. 18, pp. 33–61, 2019. View at Publisher · View at Google Scholar