An Efficient Numerical Method for the Solution of the Schrodinger Equation

被引：28

作者：

Zhang, Licheng ^{[1
]}

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

机构：

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

[2] King Saud Univ, Dept Math, Coll Sci, POB 2455, Riyadh 11451, Saudi Arabia

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

来源：

ADVANCES IN MATHEMATICAL PHYSICS | 2016年 / 2016卷

关键词：

VANISHED PHASE-LAG; TRIGONOMETRICALLY-FITTED METHODS; PREDICTOR-CORRECTOR METHOD; SYMMETRIC 2-STEP METHOD; INITIAL-VALUE PROBLEMS; KUTTA-NYSTROM METHOD; P-STABLE METHOD; MULTISTEP METHODS; HIGH-ORDER; 4TH DERIVATIVES;

D O I：

10.1155/2016/8181927

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The development of a new five-stage symmetric two-step fourteenth-algebraic order method with vanished phase-lag and its first, second, and third derivatives is presented in this paper for the first time in the literature. More specifically we will study (1) the development of the new method, (2) the determination of the local truncation error (LTE) of the new method, (3) the local truncation error analysis which will be based on test equation which is the radial time independent Schrodinger equation, (4) the stability and the interval of periodicity analysis of the new developed method which will be based on a scalar test equation with frequency different than the frequency of the scalar test equation used for the phase-lag analysis, and (5) the efficiency of the new obtained method based on its application to the coupled Schrodinger equations.

引用

页数：20

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