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

被引：44
作者：
Simos, T. E. [1 ,2 ]
机构：
[1] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia
[2] Univ Peloponnese, Fac Sci & Technol, Dept Comp Sci & Technol, Sci Computat Lab, Tripolis 22100, Greece
来源：
JOURNAL OF MATHEMATICAL CHEMISTRY | 2011年 / 49卷 / 10期
关键词：
Numerical solution; Schrodinger equation; Multistep methods; Hybrid methods; Interval of periodicity; P-stability; Phase-lag; Phase-fitted; Derivatives of the phase-lag; RUNGE-KUTTA METHODS; TRIGONOMETRICALLY-FITTED FORMULAS; SYMMETRIC MULTISTEP METHODS; HYBRID EXPLICIT METHODS; ALGEBRAIC ORDER METHODS; NUMEROV-TYPE METHODS; PREDICTOR-CORRECTOR METHODS; FITTING BDF ALGORITHMS; LONG-TIME INTEGRATION; SPECIAL-ISSUE;
D O I：
10.1007/s10910-011-9897-1
中图分类号：
O6 [化学];
学科分类号：
0703 ;
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 Schrodinger equation. Finally we apply the new proposed method to the resonance problem of the radial Schrodinger equation and we present the final conclusion based on the theoretical analysis and numerical results.
引用
收藏
页码：2486 / 2518
页数：33
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