非线性常微分方程初值问题的样条函数迭代法

An Iterated Algorithm with Spline Function for Initial Value Problems in Nonlinear ODE

文章根据非线性方程的牛顿迭代法 ,构造了一个用于非线性常微分方程初值问题数值解的迭代解法。不论原问题是否具有稳定性 ,该算法都具有收敛性 ,其误差都能得到控制。

Based on the principle of Newton's algorithm for nonlinear equation, a parallel algorithm for initial value problems in nonlinear ODE is constructed, which is proofed that the error is under controlled where the original problem is stable or not.