An Optimized Runge-Kutta Method for the Numerical Solution of the Radial Schrodinger Equation

被引：5

作者：

Ming, Qinghe ^{[1
]}

Yang, Yanping ^{[1
]}

Fang, Yonglei ^{[1
]}

机构：

[1] Zaozhuang Univ, Sch Math & Stat, Zaozhuang 277160, Peoples R China

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2012年 / 2012卷

关键词：

TRIGONOMETRICALLY-FITTED METHODS; PHASE-LAG; ORDER INFINITY; NYSTROM METHOD; MULTISTEP METHODS; 2ND-ORDER IVPS; INTEGRATION; STABILITY; PAIRS;

D O I：

10.1155/2012/867948

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

An optimized explicit modified Runge-Kutta (RK) method for the numerical integration of the radial Schrodinger equation is presented in this paper. This method has frequency-depending coefficients with vanishing dispersion, dissipation, and the first derivative of dispersion. Stability and phase analysis of the new method are examined. The numerical results in the integration of the radial Schrodinger equation with the Woods-Saxon potential are reported to show the high efficiency of the new method.

引用

页数：12

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