A Family of Numerov - Type Exponentiallyfitted Predictor - Corrector Methodsfor the Numerical Integration of Theradial Schr Odinger Equationr
نویسندگان
چکیده
A family of predictor-corrector exponential Numerov-type methods is developed for the numerical integration of the one-dimensional Schrr odinger equation. The formula considered contains certain free parameters which allow it to be tted automatically to exponential functions. The new methods are very simple and integrate more exponential functions than both the well known fourth order Numerov type exponentially tted methods and the sixth algebraic order Runge-Kutta type methods. Numerical results also indicate that the new methods are much more accurate than the other exponentially tted methods mentioned above.
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