Dirichlet边值问题的高精度交替分组显式方法  

Alternating Group Explicit Method with High-order Accuracy for the Dirichlet Boundary Problem

作　　者：朱少红[1] Zhu Shaohong(School of Mathematical Sciences,Nankai University,Tianjiri 300071,China)

机构地区：[1]南开大学数学科学学院,天津300071

出　　处：《南开大学学报（自然科学版）》2021年第3期67-74,共8页Acta Scientiarum Naturalium Universitatis Nankaiensis

摘　　要：针对热传导方程的Dirichlet边值问题提出高精度的交替分组显式方法,证明了该方法的无条件稳定性.该方法的截断误差可以达到三阶精度.数值实验验证了该方法能够达到三阶精度,并且与先前的交替分组显式方法进行了比较.The alternating group explicit method with the high-order accuracy for the Dirichlet boundary problem of the heat equation is presented.The unconditional stability of the method is proved.The truncation error of the method may reach the third-order accuracy.Numerical examples are included to demonstrate the performance of the method.

关 键 词：DIRICHLET边值问题 交替分组显式方法 高精度 

分 类 号：O241.82[理学—计算数学]