广义Rosenau方程的有限元方法

Finite element method for the generalized Rosenau equatoin

摘要:

本文对于广义的Rosenau 方程提出了全离散的Galerkin有限元格式,证明了此格式的有限元解的存在唯一性,并导出了误差估计,最后给出了数值算例验证了此方法的可靠性与有效性.

Abstract:

In this paper,we present finite element method for the generalized Rosenau equation.We prove the uniqueness and existence solutions of the fully discretization and derive related optimal error estimates.Finally,we give example to show our method is stable and efficient.