An Eighth Order Exponentially Fitted Method for the Numerical Solution of the Schrödinger Equation

1 March 1998

journal article
Published by World Scientific Pub Co Pte Ltd in International Journal of Modern Physics C

Vol. 9 (2) , 271-288
https://doi.org/10.1142/s0129183198000200

Abstract

An eighth order exponentially fitted method is developed for the numerical integration of the Schrödinger equation. The formula considered contains certain free parameters which allow it to be fitted automatically to exponential functions. This is the first eighth order exponentially fitted method in the literature. Numerical results also indicate that the new method is much more accurate than other classical and exponentially fitted methods.

Keywords

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