高维抛物型方程的高精度恒稳定的改进的Douglas格式  

An Absolutely Stable Improved Douglas Scheme of High Accuracyfor Solving Parobolic Equation

作　　者：陈贞忠[1] 马小霞[2] 

机构地区：[1]新乡学院数学系,河南新乡453000 [2]焦作大学基础部,河南焦作454003

出　　处：《河南师范大学学报（自然科学版）》2011年第1期37-40,共4页Journal of Henan Normal University(Natural Science Edition)

基　　金：河南省教育厅自然科学基础研究项目(20031100010)

摘　　要：对二维和三维抛物型方程,构造出了高精度恒稳定的改进的Douglas格式,格式的截断误差阶达到O(Δt2+Δx4),通过数值实例,验证了所得格式较现有的同类格式的精度提高了2位以上有效数字.This paper presents the absolutely stable improved Douglas scheme of high accuracy of solving parabolic equation of two-dimension and three-dimension.The truncation error of the scheme is O（Δt2＋Δx4）.From numerical examples,it validities that the accuracy of the scheme gained is hightened more than two effective numbers than the same existing style.

关 键 词：抛物型方程 改进的Douglas格式 截断误差 恒稳定 

分 类 号：O241[理学—计算数学]