广义对称正则长波方程一个两层守恒差分格式

A Two-Levelled Conservative Finite Difference Scheme for Generalized Symmetric Regularized Long Wave Equations

对具有齐次边界条件的广义对称正则长波方程构造了一个两层的有限差分格式,并利用离散泛函分析方法分析了格式的收敛性和稳定性,从理论上得到了收敛阶为O(h2+τ).

In this paper, with a numerical method for an initial-boundary problem of generalized symmetric regularized long-wave equation considered, a two-levelled finite difference scheme is proposed. It is proved by discrete energy method that the finite difference scheme is convergent in order O（h2 ＋ τ） and stable.