内插公式 meaning in English

interpolation formula

Newton interpolation formula
牛顿内插公式
In this paper , we analyze difference solutions of the burgers - kdv type equations with the periodic boundary condition by use of functional analysis method . the existence of difference solutions is proved by fixed - point theorem and the priori estimates of the difference solution are obtained using interpolation formula of sobolev space . the convergence and stability are proved
本文应用泛函分析方法对一系列burgers - kdv型方程周期边值问题的差分解进行了分析，运用各种不动点原理证明了差分解的存在性，应用sobolev空间的离散内插公式得到了差分解及其各阶差商的先验估计，利用得到的先验估计证明了差分解的收敛性和稳定性。