一类形如⊿u=(f)ug(u)的迭代解法

AN ITERATIVE SOLUTION OF A KIND OF EQUATION SHOWN AS Δu=F(u) G (u)

本文提出形如⊿u=f(u)g(u)的迭代解法,方法是有效的。其中f(u)对u 二阶可导且易求得形式简单的一阶导数。g(u)对u 只一阶可导,其一阶导数不易求得,或其一阶导数形式极其复杂。本文还给出了一个具体应用实例。

In the equation,two order derivatives of u can be derived in f(u),andone order deritives of u is simple and casily found.Considering g(u),we can deriveone order derivatives,but it is not easy to find them,or their experessions are verycomplex.One example is given in this paper.