本文将离散点上的物理量写成周围若干点上物理量的线性组合,然后从台劳级数展开式出发寻找满足非线性常微分方程的离散方程的各系数——我们称之为系数匹配法。并对主要求解一阶导数值的问题给出了一种重叠迭代法,刑来求解各种条件下的边界层方程,结果证明该法是可行的。 In this paper, the physical quantities at discrete points are written as a linear combination of the physical quantities at several points around. Then, the coefficients of the discrete equations that satisfy the nonlinear ordinary differential equations are searched out from the tabu number progression - we call it the coefficient matching method. An iterative iterative method is given to solve the problem of solving the first derivative. The solution of the boundary layer equation under various conditions is given. The result proves that this method is feasible.