步进拟合法求解一阶常微分方程连续解

Using Step Fitting Method to Give a Continuous Solution for a Differential Equation

在一阶常微分方程中,并不是所有的此类方程均能求解得出其解的具体表述。针对这一问题,采用步进法和拟合法相结合的方法来破解该问题。具体实现中,以步进法得到最佳匹配数值解,再将该解进行拟合从而得到满足连续可微分条件的连续解,从而解决了此问题。

In the first order ordinary differential equation, not all such equations can solve the solution of the specific formulation. Aiming at this problem, the step by step method and the fitting method of combining to crack the problem. In practice, step method to get the optimal matching of the numerical solution, then the solution is fit which met continuously differentiable condition of continuous solution, so as to solve the problem.