摘要

A new embedded 4(3) pair explicit four-stage fourth-order Runge-Kutta-Nystrom (RKN) method was developed to integrate second-order differential equations of the form y '' = f (x, y) where the solution was oscillatory. Presented is a method which has high order dispersion with a 'small' principal local truncation error coefficient. The stability analysis of the method derived is also given. Numerical comparisons of this new method with RK4(3) and RKN4(3) D methods show its clear advantage in terms of function evaluations and computation time.

  • 出版日期2010-8