EXPLICIT 2-STEP METHODS WITH MINIMAL PHASE-LAG FOR THE NUMERICAL-INTEGRATION OF SPECIAL 2ND-ORDER INITIAL-VALUE PROBLEMS AND THEIR APPLICATION TO THE ONE-DIMENSIONAL SCHRODINGER-EQUATION

[摘要] Two-step sixth-order methods with phase-lag of order eight, ten and twelve are developed for the numerical integration of the special second-order initial-value problem. An application to the one-dimensional Schrodinger equation on the resonance problem indicates that these new methods are generally more accurate than methods developed by Chawla, Rao and Neta (this journal, 1986, 1987).

[发布日期] 1992-02-28

[关键词] SCHRODINGER EQUATION;RESONANCE PROBLEM;PHASE-LAG