An exponentially fitted eighth-order method for the numerical solution of the Schrödinger equation

T.E. Simos
1999 Journal of Computational and Applied Mathematics  
An eighth algebraic order exponentially ÿtted method is developed for the numerical integration of the Schr odinger equation. The formula considered contains certain free parameters which allow it to be ÿtted automatically to exponential functions. An comparative error analysis is also given. Numerical and theoretical results indicate that the new method is much more e cient than other classical and exponentially ÿtted methods.
doi:10.1016/s0377-0427(99)00109-0 fatcat:qsgni56o35bwdbml7k6acav3rm