Exponential Fitted Methods for the Numerical Solution of the Schrödinger Equation

Exponential Fitted Methods for the Numerical Solution of the Schrödinger Equation

Year:    1996

Journal of Computational Mathematics, Vol. 14 (1996), Iss. 2 : pp. 120–134

Abstract

A new sixth-order Runge-Kutta type method is developed for the numerical integration of the radial Schrödinger equation and of the coupled differential equations of the Schrödinger type. The formula developed contains certain free parameters which allows it to be fitted automatically to exponential functions. We give a comparative error analysis with other sixth order exponentially fitted methods. The theoretical and numerical results indicate that the new method is more accurate than the other exponentially fitted methods.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1996-JCM-9224

Journal of Computational Mathematics, Vol. 14 (1996), Iss. 2 : pp. 120–134

Published online:    1996-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords: