中文摘要：

对任意常数a〉0的四阶抛物型方程，构造含参数的高精度两层差分格式．当参数满足一定的条件时，局部截断误差阶最高可达到O（τ^2＋h^6），并且是绝对稳定的．特殊情况下，则为一个条件稳定的两层显格式．数值例子表明，稳定性分析是正确的．

英文摘要：

A family of high-accurate and two-layer difference schemes with parameters are constructed for solving fourorder parabolic equation with arbitrary constant coefficient a〉0. The local truncation error can reach the order of O（τ^2＋h^6）as the maximum when the parameters satisfy a certain condition and these difference schemes are absolutely stable. In special case, one-layer conditionally stable difference scheme is obtained. The analysis of stability is correct, as illustrated by numerical example.