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

Published: 1 January 2000| Version 1 | DOI: 10.17632/cst989sk9k.1
T.E. Simos


Abstract An accurate eighth algebraic order exponentially-fitted method is developed for the numerical solution of radial Schrödinger equation and of the coupled differential equations of the Schrödinger type. The free parameters of the new scheme are defined in order to integrate exactly exponential functions. Numerical and theoretical results indicate that the new method is much more efficient than other classical and exponentially fitted methods. Title of program: MAPLESIM Catalogue Id: ADLI_v1_0 Nature of problem With the present program the derivation of the coefficients produced by the equation (14) is obtained. The first part of the proposed program consists of the calculation of the matrix elements which form the coefficients of the system of equations. The second part of the proposed program, as this has been explained in [1], [2] and [3], consists of the iterative application of the L'Hospital's rule (to avoid coefficients of the form 0/0) for the computation of the solution of these equations that ... Versions of this program held in the CPC repository in Mendeley Data ADLI_v1_0; MAPLESIM; 10.1016/S0010-4655(99)00459-2 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)



Computational Physics, Computer Algebra System