Exponentially - Fitted Multiderivative Methods for the Numerical Solution of the Schrödinger Equation |
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Authors: | TE Simos |
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Institution: | (1) Department of Computer Science and Technology, Faculty of Sciences and Technology, University of Peloponnese, GR-221 00 Tripolis, Greece |
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Abstract: | In this paper exponentially fitted multiderivative methods are developed for the numerical solution of the one-dimensional Schrödinger equation. The methods are called multiderivative since uses derivatives of order two and four. An application to the the resonance problem of the radial Schrödinger equation indicates that the new method is more efficient than other similar well known methods of the literature. |
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Keywords: | multiderivative methods multistep methods numerical methods schrö dinger equation |
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