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High algebraic order methods with vanished phase-lag and its first derivative for the numerical solution of the Schrödinger equation

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Abstract

In the present paper we develop a high algebraic order multistep method. The characteristic property of the new proposed method is the requirement of vanishing the phase-lag and its derivatives. The new method is applied for the approximate solution of the radial Schrödinger equation. The efficiency of the new methodology is proved via error analysis and numerical applications.

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Authors and Affiliations

  1. Department of Mathematics, College of Sciences, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi Arabia

    Ibraheem Alolyan & T. E. Simos

  2. Laboratory of Computational Sciences, Department of Computer Science and Technology, Faculty of Sciences and Technology, University of Peloponnese, 221 00, Tripolis, Greece

    T. E. Simos

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  1. Ibraheem Alolyan
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Alolyan, I., Simos, T.E. High algebraic order methods with vanished phase-lag and its first derivative for the numerical solution of the Schrödinger equation. J Math Chem 48, 925–958 (2010). https://doi.org/10.1007/s10910-010-9718-y

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