求解双曲型方程的隐式差分方程的并行迭代法  

Parallel Iterative Algorithm for Solving the Cubical Equation

作　　者：明祖芬[1] 

机构地区：[1]贵州大学理学院,贵州贵阳550025

出　　处：《贵州大学学报（自然科学版）》2005年第3期221-226,共6页Journal of Guizhou University:Natural Sciences

摘　　要：主要研究了双曲方程的三层隐式差分方程的分段并行迭代法。其基本思想是把隐式差分方程组划分为若干个子方程组来分别同时进行求解。文中给出了构造隐式差分方程组的分段隐式迭代法的一般过程,论证了它的收敛性。它具有0(Δt2+Δx2)的精度阶和绝对稳定性对任意网比r和任意阶子方程组迭代过程都是收敛的。并阐明了它处理子方程组的优越性。为说明此迭代法的有效性,针对具体例子给出了数值试验结果。Author studies the parallel algorithm for solution of the three-level implicit system of difference equations for solving cubical equation . The basic idea in to divide the system of implicit difference equation into a set of subsystems which can be solved individually in parallel, the segment implicit iterative algorithm in set up. The convergence condition in discussed, we have showed that they have good property . To show the deficiency of the segment implicit iteration, the paper gives the numerical experiments for exarnoles of diffusion equation.

关 键 词：并行迭代法 双曲方程 差分格式 稳定性 

分 类 号：O175.7[理学—数学]