四阶R-K方法中一类新算法的分析

对常微分方程初值问题数值计算中的四阶R-K方法首次具体给出了一般格式中的参数所满足的方程,并提出了新的计算格式,这些新算法对某些初值问题其整体截断误差有明显的减少.这对常微分方程初值问题在社会、经济、生态等领域中的广泛应用将提供有益的新算法.

Analysis on a Class of New Algorithm of Fourth Order R-K Method

This paper first concrete had given the parametric equations that these parametric were satisfied of general format fourth order Runge-Kutta method in numerical calculation of ordinary differential equation initial value problem. And had given a class of new algorithm that global truncation error has been distinct reduced for some initial value (problems). This will provide a profitable new algorithm for the ordinary differential equation initial value problem to wide used in the domain of the social, economics and ecological.