解二阶抛物型方程含参数高精度两层差分格式  

Two-Layer Highly Accurate Difference Schemes with One Parameter for Solving Second-Order Parabolic Equation

作　　者：吴荣[1] 

机构地区：[1]华侨大学数学科学学院,福建泉州362021

出　　处：《青海师范大学学报（自然科学版）》2007年第4期13-15,共3页Journal of Qinghai Normal University(Natural Science Edition)

基　　金：国务院侨务办公室科研基金资助项目(04QZR09)

摘　　要：对二阶抛物型方程构造了一含单参数高精度两层差分格式.当参数满足一定的条件时,差分格式绝对稳定.局部截断误差阶数最高可达O(τ2+h4).数值例子说明对稳定性所作的分析是正确的.The highly accurate and two-layer difference schemes with one parameter are constructed for solving two-order parabolic equation. In case the parameter satisfies a certain condition, these difference schemes are absolutely stable, with the maximum order of local truncation error up to O（τ^2＋h^4）. The stability analysis shown by numerical examples proved to be correct.

关 键 词：二阶抛物型方程 高精度 差分格式 绝对稳定 

分 类 号：O641.4[理学—物理化学]