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

作者：Papadopoulos, Dimitris F.; Simos, T. E.^*

来源：Applied Mathematics & Information Sciences, 2013, 7(2): 433-437.

DOI：10.12785/amis/070202

• Runge-Kutta-Nystrom methods
• Orbital problems
• Phase-fitted
• Amplification-fitted
• derivatives
• initial value problems
• oscillating solution

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.

• 出版日期2013-3