色散方程两层绝对稳定的实心隐格式

Two level and absolutely stable full-node implicit schemes for dispersive equation

利用组合差商法对色散方程ut=auxxx的初边值问题构造了一组带参数的2层4点实心隐式差分格式,其截断误差为O(τ2+h4),绝对稳定.这是一组高精度、高稳定的差分格式.

By combining difference solution, a group of partial - node implicit schemes were designed for solving the initial boundary value problem of the dispersive equation ui = auxxx. The schemes were two level and with parameters, and their truncation errors were O （τ^2＋h^4） and absolutely stable. The resuh is that they are high precise and high stable.