抛物型方程的一族高精度恒稳定的隐式差分格式

A Family of High Accuracy and Absolutely Stable Difference Schemes for Solving the Parabolic Equation

本文用待定参数法对一维抛物型方程构造出一族截断误差为O(Δt3 +Δx4 )的隐式差分格式 ,格式绝对稳定 。

This paper presents a family of implicit differen ce schemes for solving parabolic equation of one-dimension.The local truncation error is O(Δt 3+Δx 4) .These schemes are absolutely stable and can be easily solved by double sw eeping method.