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A new two-step hybrid method for the numerical solution of the Schrödinger equation

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Abstract

With this paper, a new algorithm is developed for the numerical solution of the one-dimensional Schrödinger equation. The new method uses the minimum order of the phase-lag and its derivatives. Error analysis and the numerical results illustrate the efficiency of the new algorithm.

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Abbreviations

LTE:

Local truncation error

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  1. Department of Science, School of Technological Applications, Technological Education Institute of Kavala, 65404, Kavala, Greece

    A. Konguetsof

  2. 1 Dimokritou Street, 67100, Xanthi, Greece

    A. Konguetsof

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Konguetsof, A. A new two-step hybrid method for the numerical solution of the Schrödinger equation. J Math Chem 47, 871–890 (2010). https://doi.org/10.1007/s10910-009-9606-5

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