A new hybrid two-step method with vanished phase-lag and its first and second derivatives for the numerical solution of the Schrödinger equation and related problems

被引：0
|
作者：
Ibraheem Alolyan
T. E. Simos
机构：
[1] King Saud University,Department of Mathematics, College of Sciences
[2] University of Peloponnese,Laboratory of Computational Sciences, Department of Computer Science and Technology, Faculty of Sciences and Technology
来源：
Journal of Mathematical Chemistry | 2012年 / 50卷
关键词：
Numerical solution; Schrödinger equation; Multistep methods; Hybrid methods; Interval of periodicity; P-stability; Phase-lag; Phase-fitted; Derivatives of the phase-lag;
D O I：
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中图分类号：
学科分类号：
摘要：
The maximization of the efficiency of a hybrid two-step method for the numerical solution of the radial Schrödinger equation and related problems with periodic or oscillating solutions via the procedure of vanishing of the phase-lag and its derivatives is studied in this paper. More specifically, we investigate the vanishing of the phase-lag and its first and second derivatives and how this disappearance maximizes the efficiency of the hybrid two-step method.
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页码：1861 / 1881
页数：20
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