High Algebraic Order Methods with Minimal Phase-Lag for Accurate Solution of the Schrödinger Equation
- 1 October 1998
- journal article
- Published by World Scientific Pub Co Pte Ltd in International Journal of Modern Physics C
- Vol. 9 (7) , 1055-1071
- https://doi.org/10.1142/s0129183198000996
Abstract
A family of new hybrid four-step tenth algebraic order methods with phase-lag of order fourteen is developed for accurate computations of the radial Schrödinger equation. Numerical results obtained for the integration of the phase shift problem for the well known case of the Lennard-Jones potential and for the numerical solution of the coupled equations arising from the Schrödinger equation show that these new methods are better than other finite difference methods.Keywords
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