A new two stage symmetric two-step method with vanished phase-lag and its first, second, third and fourth derivatives for the numerical solution of the radial Schrodinger equation

被引：101

作者：

Zhou, Zhou ^{[1
]}

Simos, T. E. ^{[2
,3
]}

机构：

[1] Changan Univ, Sch Informat Engn, Xian 710064, Peoples R China

[2] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia

[3] Univ Peloponnese, Sci Computat Lab, Dept Informat & Telecommun, Fac Econ Management & Informat, Tripolis 22100, Greece

来源：

JOURNAL OF MATHEMATICAL CHEMISTRY | 2016年 / 54卷 / 02期

关键词：

Phase-lag; Derivative of the phase-lag; Initial value problems; Oscillating solution; Symmetric; Hybrid; Multistep; Schrodinger equation; PREDICTOR-CORRECTOR METHOD; EXPLICIT 4-STEP METHOD; INITIAL-VALUE PROBLEMS; TRIGONOMETRICALLY-FITTED FORMULAS; KUTTA-NYSTROM METHOD; HIGH-ORDER; MULTISTEP METHODS; SYMPLECTIC INTEGRATORS; EFFICIENT INTEGRATION; 2ND-ORDER IVPS;

D O I：

10.1007/s10910-015-0571-x

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

A two stage symmetric two-step method with vanished phase-lag and its first, second, third and fourth derivatives with low computational cost is developed in this paper for the first time in the literature. More specifically in this paper we present: the theoretical background for the development of the new low computational and high efficient method, the development of the method, the local truncation error analysis based on the radial Schrodinger equation, the interval of periodicity-stability analysis, the examination of the efficiency of the new produced method by applying it to the numerical solution of the Schrodinger equation.

引用

页码：442 / 465

页数：24

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