A new implicit high-order six-step singularly P-stable method for the numerical solution of Schrodinger equation

被引：2
作者：
Shokri, Ali [1 ]
Mehdizadeh Khalsaraei, Mohammad [1 ]
机构：
[1] Univ Maragheh, Fac Math Sci, Maragheh, Iran
来源：
JOURNAL OF MATHEMATICAL CHEMISTRY | 2021年 / 59卷 / 01期
关键词：
Phase fitting; Schrö dinger equation; Phase-lag; Ordinary differential equations; Singularly P-stable; Symmetric multistep methods; VANISHED PHASE-LAG; FINITE-DIFFERENCE METHOD; NUMEROV-TYPE METHODS; RUNGE-KUTTA PAIRS; SYMMETRIC MULTISTEP METHODS; PREDICTOR-CORRECTOR METHOD; INITIAL-VALUE PROBLEMS; HYBRID 4-STEP METHODS; EFFICIENT INTEGRATION; FITTED MODIFICATIONS;
D O I：
10.1007/s10910-020-01189-0
中图分类号：
O6 [化学];
学科分类号：
0703 ;
摘要：
In this paper, we present a new implicit six-step singularly P-stable method with vanished phase-lag and its derivatives up to fifth order for the numerical integration of the one-dimensional radial time independent Schrodinger equation. The periodicity region of the method is plotted and the numerical stability and phase properties of the new methods are analyzed. The advantage of the new method in comparison with similar methods-in terms of efficiency, accuracy and stability-have been shown by implementing them in the radial time-independent Schrodinger equation during the resonance problems with the use of the Woods-Saxon potential.
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收藏
页码：224 / 249
页数：26
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