一类非线性方程隐式格式的稳定性分析

摘要

本文针对RLW方程提出一个守恒型隐式差分格式，并对该格式的格式的截断误差进行了分析，证明了格式的稳定性与收敛性。%In this paper, a new conservative implicit difference scheme for a Cauchy problem of RLW equation is considered. The truncation error of the scheme is described and the convergence and stability of the scheme are proved.