中文摘要：

作者对对称正则长波（SRLW）方程的初边值问题进行了数值研究，提出了一个带有加权系数θ的三层拟紧致平均隐式差分格式，格式模拟了初值问题的守恒性质，得到了差分解的存在唯一性，并利用离散泛函分析方法分析了该格式的二阶收敛性与稳定性．

英文摘要：

In this paper, a finite difference method for an initial-boundary value problem of symmetric regularized long-wave equation is considered. An energy conservative pseudo-compact average implicit finite difference of three levels with weight coefficient θ is proposed. Existence and uniqueness of numerical solutions are derived. It is proved that the finite difference scheme is convergent in order O（τ^2 ＋- h^2） and stable.