|
|
 |
| |
|
|
|
On the Explicit Four-Step Methods with Vanished Phase-Lag and its First Derivative |
|
|
|
PP: 447 -458 |
|
|
|
Author(s) |
|
|
|
T. E. Simos,
|
|
|
|
Abstract |
|
|
| In the present paper, we will investigate a family of explicit four-step methods first introduced by Anastassi and Simos [1]
for the case of vanishing of phase-lag and its first derivative. These methods are efficient for the numerical solution of the Schršodinger
equation and related initial-value or boundary-value problems with periodic and/or oscillating solutions. As we mentioned before the
main scope of this paper is the study of the elimination of the phase-lag and its first derivative of the family of the methods to be
investigated. A comparative error and stability analysis will be presented for the studied family of four-step explicit methods. The new
obtained methods will finally be tested on the resonance problem of the Schršodinger equation in order to examine their efficiency. |
|
|
|
|
|
|
|
