热流密码体制中伪抛物型方程的再生核解法

The Research on the Reproducing Kernel Method of Pseudo-parabolic Equation in Heat Flow Cryptosystem

讨论热流密码体制的一类非线性伪抛物型模型,运用线性变换使伪抛物型方程(3)的初边值条件齐次化,在再生核空间W珚(3,2)(D)中,利用再生核的方法,构造W珚(3,2)(D)空间上的近似再生核un(M),证明了此算法的收敛性并给出了误差估计式.

A class of nonlinear Pseudo - parabolic model of the Heat Flow Cryptosystem is discussed in this paper. The initial boundary value conditions of pseudo - parabolic equation （3） homogeneous is made through the linear transformation . In the reproducing kernel space W（3,2）（D） , the approximate reproducing kernel function un （M） is constructed by the Reproducing kernel method, the convergence of this method is proved and the error estimates expression is given.