High-order predictor-corrector of exponential fitting for the N-body problems

Authors:
Chen Tang;Wenping Wang;Haiqing Yan;Zhanqing Chen
Affiliations:
Department of Applied Physics, University of Tianjin, Tianjin 300072, PR China;Department of Applied Physics, University of Tianjin, Tianjin 300072, PR China;Department of Applied Physics, University of Tianjin, Tianjin 300072, PR China;Department of Mechanical Engineering and Automation, Harbin Institute of Technology, PR China
Venue:
Journal of Computational Physics
Year:
2006

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Abstract

We develop the seventh-step predictor-corrector of exponential fitting method for the N-body problems. We apply our proposed scheme to Kepler problem, the interaction of seven argon atoms in a plane and three particles bound together by two springs of different stiffnesses. The three problems have various potential functions. We demonstrate the accuracy and efficiency of our proposed scheme via comparison with other analytical and numerical results. The numerical results show that the schemes are highly accurate and computationally efficient.