A Phase-Fitted Runge-Kutta-Nystr\"om method for the Numerical Solution of Initial Value Problems with Oscillating Solutions
Numerical Analysis
2015-05-13 v1
Abstract
A new Runge-Kutta-Nystr\"om method, with phase-lag of order infinity, for the integration of second-order periodic initial-value problems is developed in this paper. The new method is based on the Dormand and Prince Runge-Kutta-Nystr\"om method of algebraic order four\cite{pa}. Numerical illustrations indicate that the new method is much more efficient than the classical one.
Cite
@article{arxiv.0811.2481,
title = {A Phase-Fitted Runge-Kutta-Nystr\"om method for the Numerical Solution of Initial Value Problems with Oscillating Solutions},
author = {D. F. Papadopoulos and Z. A. Anastassi and T. E. Simos},
journal= {arXiv preprint arXiv:0811.2481},
year = {2015}
}
Comments
10 pages