A new two-step hybrid method for the numerical solution of the Schrodinger equation

被引：109
作者：
Konguetsof, A. [1 ]
机构：
[1] Technol Educ Inst Kavala, Sch Technol Applicat, Dept Sci, Kavala 65404, Greece
来源：
JOURNAL OF MATHEMATICAL CHEMISTRY | 2010年 / 47卷 / 02期
关键词：
Multistep methods; Explicit methods; Hybrid methods; Phase-lag; Phase-fitted; Schrodinger equation; RUNGE-KUTTA METHODS; PREDICTOR-CORRECTOR METHODS; INITIAL-VALUE PROBLEMS; MINIMAL PHASE-LAG; SYMMETRIC MULTISTEP METHODS; TRIGONOMETRICALLY-FITTED FORMULAS; EXPONENTIAL-FITTING METHODS; FINITE-DIFFERENCE METHOD; ALGEBRAIC ORDER METHODS; NUMEROV-TYPE METHOD;
D O I：
10.1007/s10910-009-9606-5
中图分类号：
O6 [化学];
学科分类号：
0703 ;
摘要：
With this paper, a new algorithm is developed for the numerical solution of the one-dimensional Schrodinger equation. The new method uses the minimum order of the phase-lag and its derivatives. Error analysis and the numerical results illustrate the efficiency of the new algorithm.
引用
收藏
页码：871 / 890
页数：20
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