微分方程数值解的隐显式Runge-Kutta方法  

作　　者：张磊[1] 王其波[1] 

机构地区：[1]中国矿业大学,中国北京100083

出　　处：《科技信息》2012年第33期233-234,共2页Science & Technology Information

摘　　要：Runge-Kutta方法作为一种单步高阶方法在求解常微分方程和方程组中受到了广泛的关注,它具有单步方法较少的存储优点,也能根据Taylor展开来提高阶数并无需增加计算来求导。Runge-Kutta方法的各种改进在很多领域也得到应用。本文主要研究在Runge-Kutta方法基础上改进的一种办法,即:隐显式Runge-Kutta方法。[Abstract]Runge-Kutta method is a high-order single-step method, and it was widely concerned in the solution of the process of the ordinary differential equation or equations, because the method has an advantage of the less storage and it could make the rank higher without redundant computations. There also are all kinds of improvement of Runge-Kutta method have being used in many realms.In this paper, we just investigate a method which is improved method from Runge-Kutta method. The method is explicit-implicit Runge-Kutta method.

关 键 词：Runge—Kutta方法 常微分方程 隐显式 数值解 

分 类 号：O175.1[理学—数学]