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Exponential fitted methods for the numerical integration of the Schrödinger equation

✍ Scribed by T.E. Simos

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
500 KB
Volume
71
Category
Article
ISSN
0010-4655

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✦ Synopsis

A new sixth-order Runge-Kutta type method is developed for the numerical integration of the one-dimensional Schrodinger equation. 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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