A Modified Runge-Kutta-Nystrom Method by using Phase Lag Properties for the Numerical Solution of Orbital Problems

被引：150

作者：

Papadopoulos, Dimitris F.

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, Sci Computat Lab, Dept Comp Sci & Technol, GR-22100 Tripolis, Greece

来源：

APPLIED MATHEMATICS & INFORMATION SCIENCES | 2013年 / 7卷 / 02期

关键词：

Runge-Kutta-Nystrom methods; Orbital problems; Phase-fitted; Amplification-fitted; derivatives; initial value problems; oscillating solution; TRIGONOMETRICALLY-FITTED METHODS; RADIAL SCHRODINGER-EQUATION; OSCILLATING SOLUTIONS; 2ND-ORDER IVPS; ORDER;

D O I：

10.12785/amis/070202

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a new modified Runge-Kutta-Nystrom method of third algebraic order is developed. The new modified RKN method has phase-lag and amplification error of order infinity, also the first derivative of the phase lag is of order infinity. Numerical results indicate that the new method presented in this paper, is much more efficient than other methods of the same algebraic order, for the numerical integration of orbital problems.

引用

页码：433 / 437

页数：5

共 28 条

[1] A family of ten-step methods with vanished phase-lag and its first derivative for the numerical solution of the Schrodinger equation [J].