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Exponentially fitted two-step hybrid methods for the resonant state of the Schrödinger equation

Author

Listed:
  • Yonglei Fang

    (Department of Mathematics and Statistics, Zaozhuang University, Zaozhuang 277160, P. R. China)

  • Yanping Yang

    (Department of Mathematics and Statistics, Zaozhuang University, Zaozhuang 277160, P. R. China)

  • Xiong You

    (Department of Applied Mathematics, Nanjing Agricultural University, Nanjing 210095, P. R. China)

Abstract

A family of exponentially fitted two-step hybrid methods for the numerical integration of the Schrödinger equation is investigated. The asymptotic expressions of the local errors for large energies are presented. The stability of the new methods is analyzed. Numerical results are reported for the widely used Woods–Saxon potential to show the efficiency of the new methods. The error analysis is clearly tested by the resonance problem.

Suggested Citation

  • Yonglei Fang & Yanping Yang & Xiong You, 2018. "Exponentially fitted two-step hybrid methods for the resonant state of the Schrödinger equation," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 29(07), pages 1-16, July.
    • Handle: RePEc:wsi:ijmpcx:v:29:y:2018:i:07:n:s0129183118500559
    DOI: 10.1142/S0129183118500559
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