一类非线性椭园—抛物耦合方程组的差分格式及其广义稳定性

Difference scheme and the Generaliged stability of a non-linear elliptic-parabdic compling eguation(Ⅰ)

本文建立了一类非线性椭园-抛物方程组(Boussinesq方程组)的差分格式,同时用能量法证明了差分格式的广义稳定性。

In this paper, we will eetablish the difference scheme of a non-linear elliptic-parabolic compling equations and this system is Boussinesq equation system, and prove the generalized stability of the difference scheme by using the energy method.