带阻尼项的广义SRLW方程的线性化差分方法

A linearized difference method for generalized SRLW equation with damping term

本文对带有阻尼项的耗散广义SRLW方程的初边值问题进行了数值研究,提出了一个具有二阶理论精度的三层线性化差分格式.综合运用数学归纳法和离散泛函分析方法,本文导出了该格式的收敛性和稳定性.数值实验表明该方法是可靠的.

In this paper,numerical solution of the initial-boundary value problem of dissipative generalized SRLW equation with damping term is considered.A three-level linearized difference scheme with second order accuracy is proposed.It is proved that the difference scheme is convergent and stable by using mathematical induction and discrete functional analysis.Efficiency of the method is demonstrated by some numerical examples.