四阶抛物型方程的一个高精度差分格式

A High Accuracy Difference Scheme for Solving the 4th Order Parabolic Partial Differential Equation

研究了一维四阶抛物型方程的三层差分格式，运用待定系数法导出了差分格式，给出了差分格式的截断误差，讨论了差分格式的稳定性和收敛性，且收敛阶为O（r^2＋h^4）；最后给出了数值例子，数值结果和理论结果是吻合的。

This paper presents a high accuracy three-level difference scheme for solving parabolic equations. A difference scheme is derived by using the undetermined coefficient law and an error estimate of O（r^2 ＋ h^4） is given in detail.