High algebraic order methods with vanished phase-lag and its first derivative for the numerical solution of the Schrodinger equation

被引：44
作者：
Alolyan, Ibraheem [2 ]
Simos, T. E. [1 ,2 ]
机构：
[1] Univ Peloponnese, Fac Sci & Technol, Dept Comp Sci & Technol, Sci Computat Lab, Tripolis 22100, Greece
[2] King Saud Univ, Dept Math, Coll Sci, Riyadh 11451, Saudi Arabia
来源：
JOURNAL OF MATHEMATICAL CHEMISTRY | 2010年 / 48卷 / 04期
关键词：
Numerical solution; Schrodinger equation; Multistep methods; Hybrid methods; Interval of periodicity; P-stability; Phase-lag; Phase-fitted; NUMEROV-TYPE METHODS; RUNGE-KUTTA METHOD; INITIAL-VALUE PROBLEMS; HYBRID EXPLICIT METHODS; PREDICTOR-CORRECTOR METHOD; VARIABLE-STEP METHODS; ACCURATE COMPUTATIONS; FITTED METHOD; SPECIAL-ISSUE; MULTISTEP METHODS;
D O I：
10.1007/s10910-010-9718-y
中图分类号：
O6 [化学];
学科分类号：
0703 ;
摘要：
In the present paper we develop a high algebraic order multistep method. The characteristic property of the new proposed method is the requirement of vanishing the phase-lag and its derivatives. The new method is applied for the approximate solution of the radial Schrodinger equation. The efficiency of the new methodology is proved via error analysis and numerical applications.
引用
收藏
页码：925 / 958
页数：34
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