解二维抛物型方程初边值问题的交替方向隐式方法  

ALTERNATING DIRECTION IMPLICIT METHOD OF SOLUTING TWO-DIMENSIONAL PARABOLIC EQUATION WITH INITIAL AND BOUNDARY CONDITIONS

作　　者：周维奎[1] 李华[1] 卢玉蓉[1] 张培德 冯思臣 何永富[1] 周洁[2] 

机构地区：[1]成都理工学院应用数学系,成都610059 [2]四川科技职工大学

出　　处：《成都理工学院学报》2000年第2期212-216,共5页Journal of Chengdu University of Technology

摘　　要：详细地研究了各种情形的求解二维抛物型方程初边值问题的交替方向隐式差分法。这种方法可以将二维隐式方法归结为求解三对角线性方程组。与一维情况类似 ,可以继续利用追赶法求解。它具有运算速度快 ,存储量小 ,无条件稳定等优点。该方法是求解二维抛物型方程的有效方法 。This paper discusses the different differential methods of Alternating Direction Implicit Method with initial condition and boundary conditions in detail. By the method, the two dimensional implicit method can be induced in soluting tridiagonal linear equation group. Similar to one dimensional equation, one can continue to solve it with Thomas. This method possesses many merits, such as a fast calculation speed, smaller storage capacity , unconditional stability, and so on. So this method is effective in soluting two dimensional parabolic equation and can be widely used.

关 键 词：ADI格式 抛物型方程 初边值 交替方向 隐式法 

分 类 号：O175.8[理学—数学] O175.26[理学—基础数学]