Open formula of Runge-Kutta method for solving autonomous ordinary differential equation

摘要

In this paper, some formulas of the open type of Runge-Kutta method for finding numerical solution of autonomous initial value problem of ordinary differential equation will be introduced. The new way of finding the constants in the formula will be discuss. These formulas will be used to find the numerical solution of an example of an autonomous initial value problem of ordinary differential equation. (c) 2006 Published by Elsevier Inc.