对称正则长波方程的拟紧致守恒差分格式

Pseudo-compact Conservative Finite Difference Approximate Solution for the Symmetric Regularized-long-wave Equations

本文就对称正则长波方程的初边值问题进行了数值研究,提出了一个三层线性拟紧致差分格式,该格式具有较高精度且合理模拟了初边值问题的守恒性质。文章在先验估计基础上运用能量分析方法分析了格式的稳定性及二阶收敛性。数值结果验证了格式的有效性。

A pseudo-compact linear finite difference scheme with second-order accuracy is proposed for symmetric regularized-long-wave （SRLW） equations. Some prior estimates and second order convergence as well as discrete conservation of energy of the finite difference approximate solution are discussed. Numerical results verify the efficiency of the new scheme.