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

被引：0
作者：
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 | 2011年 / 49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：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we introduce a new explicit hybrid Numerov-type method. This method is of fourth algebraic order and has phase-lag and its first two derivatives equal to zero. We present a stability analysis and an error analysis based on the radial Schrödinger equation. Finally we apply the new proposed method to the resonance problem of the radial Schrödinger equation and we present the final conclusion based on the theoretical analysis and numerical results.
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页码：2486 / 2518
页数：32
相关论文
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