A FAMILY OF OPTIMIZED RUNGE-KUTTA METHODS WITH FIVE STAGES AND FOURTH ORDER FOR IVPS WITH OSCILLATING SOLUTIONS

摘要

In this paper we present a family of explicit Runge-Kutta methods of 4th algebraic order with 5 stages for the efficient solution of problems with oscillating solutions. The main purpose is to achieve better results by minimizing the dispersion and dissipation of the method, while maintaining constant algebraic order.