解高维抛物型方程的显式差分格式  

An Explicit Difference Scheme for Solving High-dimensional Parabolic Equations

作　　者：谷淑敏 刘佳 GU Shumin;LIU Jia(Department of Public Education, Zhengzhou University of Economics and Trade, Zhengzhou 450007, China)

机构地区：[1]郑州经贸学院公共教学部,河南郑州450007

出　　处：《河南教育学院学报（自然科学版）》2021年第4期18-20,共3页Journal of Henan Institute of Education(Natural Science Edition)

基　　金：河南省自然科学基金(132300410231)。

摘　　要：对高维拋物型方程构造出了高精度的显式差分格式,格式的截断误差阶达到O(Δt^(2)+Δx^(4))。A high-order accuracy explicit difference scheme for solving high-dimensional parabolic equation is constructed,and the truncation error of differential scheme reaches O(Δt^(2)+Δx^(4)).

关 键 词：拋物型方程 高精度 截断误差 显式差分格式 

分 类 号：O241.82[理学—计算数学]