A new high order two-step method with vanished phase-lag and its derivatives for the numerical integration of the Schrödinger equation

被引：0
|
作者：
Ibraheem Alolyan
T. E. Simos
机构：
[1] King Saud University,Chair of Actuarial and Applied Mathematics, Department of Mathematics, College of Sciences
[2] King Saud University,Department of Mathematics, College of Sciences
[3] 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; 65L05;
D O I：
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学科分类号：
摘要：
In this paper we develop a new hybrid method of high order with phase-lag and its first, second and third derivatives equal to zero. For the produced method we study its error and stability. We apply the newly obtained method to the Schrödinger equation. The application shows the efficiency of the new produced method.
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页码：2351 / 2373
页数：22
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