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一类无穷边值问题的数值模拟
引用本文:廖秋明.一类无穷边值问题的数值模拟[J].许昌学院学报,2010,29(2):11-13.
作者姓名:廖秋明
作者单位:肇庆学院,数学系,广东,肇庆,526061
摘    要:应用一种非线性变换,将一类无穷边值问题转化为等价带奇异项的Dirichle问题,并利用有限差分方法、Newton迭代法和多重网格方法,对该问题进行了数值模拟,验证了该方法的可行性.

关 键 词:无穷边值问题  非线性变换  有限差分方法  Newton迭代法  多重网格方法

Numerical Solutions for a Class of Infinite Boundary Problem
LIAO Qiu-ming.Numerical Solutions for a Class of Infinite Boundary Problem[J].Journal of Xuchang University,2010,29(2):11-13.
Authors:LIAO Qiu-ming
Institution:LIAO Qiu-ming(Department of Mathematics,Zhaoqing University,Zhaoqing 526061,China)
Abstract:With a nonlinear transform,a class of infinite boundary problem of nonlinear elliptic equation is changed into the equivalent singular Dirichlet problems.Then,numerical solutions are studied by finite difference method,Newton method and multigrid method.
Keywords:infinite boundary problem  nonlinear transform  finite difference method  Newton method  multigrid method  
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