A new two stages tenth algebraic order symmetric six-step method with vanished phase-lag and its first and second derivatives for the solution of the radial 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 Informatics and Telecommunications, Faculty of Economy, Management and Informatics
来源：
Journal of Mathematical Chemistry | 2017年 / 55卷
关键词：
Schrödinger equation; Multistep methods; Multistage methods; Interval of periodicity; Phase-lag; Phase-fitted; Derivatives of the phase-lag; 65L05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The presentation, development and analysis of a new two-stages tenth algebraic order symmetric six-step method is introduced, for the first time in the literature, in this paper. More specifically, we present the development of the new method (requesting the highest algebraic order and the elimination of the phase-lag and its first and second derivatives), the analysis (error analysis and stability and interval of periodicity analysis) and the evaluation of the new developed method comparing its efficiency with the efficiency of well known methods and very recently produced methods in the literature on the approximate solution of the resonance problem of the one dimensional (or radial) Schrödinger equation. From the developments achieved and the results presented, we prove that the new obtained method is most more effective than other well known or recently developed methods of the literature.
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页码：105 / 131
页数：26
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