常微分方程初值问题的几个2-正则算法

Several R^([2])-methods for initial value problem of first-order ODE

利用指数函数ex的几种形式对称的逼近式,构造了求解微分方程初值问题的几种数值方法,并证明了这几种数值方法为2 正则算法或在某种条件下为2 正则算法.

Several numerical solutions of initial value problem of differential equations are formulated by using several formally symmetric approximations of exponential function e^x,and it is proved that these numerical methods are R^([2])-methods or R^([2])-methods under some conditions.