Modified two-derivative Runge–Kutta methods for the Schrödinger equation

被引：0
|
作者：
Yanping Yang
Yonglei Fang
Xiong You
机构：
[1] Zaozhuang University,School of Mathematics and Statistics
[2] Nanjing Agricultural University,Department of Applied Mathematics
来源：
Journal of Mathematical Chemistry | 2018年 / 56卷
关键词：
Two-derivative Runge–Kutta method; Schrödinger equation; Phase-lag; Error analysis;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A family of modified two-derivative Runge–Kutta (MTDRK) methods for the integration of the Schrödinger equation are obtained. Two new three-stage and fifth order TDRK methods are derived. The numerical results in the integration of the radial Schrödinger equation with the Woods–Saxon potential are reported to show the high efficiency of our new methods. The results of the error analysis are illustrated by the resonance problem.
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页码：799 / 812
页数：13
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