Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9506262 | Applied Mathematics and Computation | 2005 | 12 Pages |
Abstract
A new procedure for constructing Runge-Kutta methods for an efficient integration of the radial Schrödinger equation is developed in this paper. The new modified Runge-Kutta methods are of algebraically order four. The asymptotic expressions of the local errors for large energies are discussed. Numerical results obtained for the widely used Woods-Saxon potential show the efficiency of the new methods compared with other special optimized fourth-order Runge-Kutta methods. The error analysis will be clearly confirmed by the resonance problem.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Hans Van de Vyver,