BESSEL AND NEUMANN-FITTED METHODS FOR THE NUMERICAL-SOLUTION OF THE RADIAL SCHRODINGER-EQUATION

Two two-step methods for the numerical solution of some problems relat ed to the Schrodinger equation are developed in this paper. One is of the Numerov type and of algebraic order 4 and the other is of the Rung e-Kutta type and of algebraic order 5. Each of these have free paramet ers that are defined such that the methods are fitted to spherical Bes sel and Neumann functions. From these methods a variable-step techniqu e is devised. This variable-step technique is applied to the phase-shi ft and resonance problems of the radial Schrodinger equation. Results indicate that the new approach is more efficient than several other we ll-known methods. (C) 1997 Elsevier Science Ltd.