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二维抛物方程初边值问题的拟多重网格预处理迭代法
引用本文:纪欢,王宁宁.二维抛物方程初边值问题的拟多重网格预处理迭代法[J].科技信息,2011(5):151-152.
作者姓名:纪欢  王宁宁
作者单位:渤海大学数学系,辽宁锦州121013
摘    要:本文结合多重网格和预处理迭代法,提出了求解二维抛物型方程初边值问题的一种很有效的方法,通过巧妙构造预处理迭代矩阵,从而显著减少迭代矩阵的条件数,加快了迭代收敛速度,提高了求解效率。

关 键 词:多重网格  抛物型方程  预处理迭代法

Two-dimensional Parabolic Equation to Multiple Grids Pretreatment Iterative Method
JI Huan,WANG Ning-ning.Two-dimensional Parabolic Equation to Multiple Grids Pretreatment Iterative Method[J].Science,2011(5):151-152.
Authors:JI Huan  WANG Ning-ning
Institution:(Bohai University Mathematics, Jinzhou Liaoning, 121013)
Abstract:Based on combining of muhiple grids and pretreatment iterative method, this paper puts forward a very effective method of solnting two-dimensional parabolic equation initial-boundary value problem. Through clever constructing pretreatment iterative matrix, the number of iteration matrix condition is reduced significantly, the convergence speed is accelerated and the solution efficiency is improved.
Keywords:Multiple grids  Parabolic equations  Pretreatment iterative method
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