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

Yonglei Fang, Yanping Yang () and Xiong You ()
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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

International Journal of Modern Physics C (IJMPC), 2018, vol. 29, issue 07, 1-16

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.

Keywords: Exponential fitting; two-step hybrid method; Schrödinger equation; error analysis (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1142/S0129183118500559

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