求解二维扩散方程的交替分段显-隐方法  

New alternating segment explicit-implicit method for the two-dimensional diffusion equation

作　　者：刘晓遇[1] 黄涛 

机构地区：[1]清华大学应用数学系,北京100084

出　　处：《清华大学学报（自然科学版）》1996年第2期22-28,共7页Journal of Tsinghua University(Science and Technology)

摘　　要：把局部一维方法与一维交替分段方法相结合构造了解二维扩散问题的交替分段显－稳方法（ＬＡＳＥ－Ｉ），方法简单且是无条件稳定，特别适用于并行和肉量计算。数值结果表明，该方法在计算速度和精度方面优于Ｅｖａｎｓ的ＡＧＥ方法。Based on the local one-dimensional method and one-dimensional alternating segment method, a new alternating segment explicit-implicit(LASE- I ) method for the two-dimensional diffusion equation is developed, which is suitable for parallel or vector computation. The method is unconditionally stable and simple. The numerical result shows that the accuracy and speed of computation are better than those of the Evans's AGE method.

关 键 词：扩散方程 LASE-1法 稳定性 迭代 

分 类 号：O241.82[理学—计算数学]