四阶抛物型方程的三层恒稳差分格式

Three Layered Steady Difference Scheme for Solving Four Order Parabolic Equation

为了解四阶抛物型方程 u t+ 4u x4=0 ,建立两类新的、具三对角线型系数矩阵的三层隐式差分格式 其局部截断误差阶均为O(τ2 +h2 +(τh) 2 ) ,且都是绝对稳定的 ,并可用追赶法容易地求解

For solving four order parabolic equation ut+ 4ux 4=0, the author advances two new classes of three layered implicit difference scheme with coefficient matrix of tridiagonal type. The local truncation error of these schemes are all in the order of O(τ 2+h 2). They are all absolutely stable and can easily be solved by speed-up method. They are indicated by numerical example to be effective.