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A Symmetric High Order Method With Minimal Phase-Lag For The Numerical Solution Of The Schrödinger Equation

Author

Listed:
  • T. E. SIMOS

    (Section of Mathematics, Department of Civil Engineering, School of Engineering, Democritus University of Thrace, GR-671 00 Xanthi, Greece)

  • JESUS VIGO AGUIAR

    (Departamento de Matematica Aplicada, Facultad de Ciencias, Universidad de Salamanca, 37008 Salamanca, Spain)

Abstract

In this paper, a new high algebraic order symmetric eight-step method is introduced. For this method, a direct formula for the computation of the phase-lag is given. Based on this formula, an eight-step symmetric method with minimal phase-lag is developed. The new method has better stability properties than the classical one. Numerical illustrations on the radial Schrödinger equation indicate that the new method is more efficient than older ones.

Suggested Citation

  • T. E. Simos & Jesus Vigo Aguiar, 2001. "A Symmetric High Order Method With Minimal Phase-Lag For The Numerical Solution Of The Schrödinger Equation," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 12(07), pages 1035-1042.
    • Handle: RePEc:wsi:ijmpcx:v:12:y:2001:i:07:n:s0129183101002292
    DOI: 10.1142/S0129183101002292
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    Cited by:

    1. Saleem Obaidat & Said Mesloub, 2019. "A New Explicit Four-Step Symmetric Method for Solving Schrödinger’s Equation," Mathematics, MDPI, vol. 7(11), pages 1-12, November.
    2. Changbum Chun & Beny Neta, 2019. "Trigonometrically-Fitted Methods: A Review," Mathematics, MDPI, vol. 7(12), pages 1-20, December.
    3. Singh, Gurjinder & Garg, Arvind & Kanwar, V. & Ramos, Higinio, 2019. "An efficient optimized adaptive step-size hybrid block method for integrating differential systems," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.

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