一类椭圆边值问题紧有限差分方法的单调迭代算法  

Monotone Iterative Algorithm of Compact Finite Difference Method for a Class of Elliptic Boundary Value Problems

作　　者：武文佳[1] 

机构地区：[1]上海电机学院数理教学部,上海201306

出　　处：《上海电机学院学报》2014年第5期283-287,310,共6页Journal of Shanghai Dianji University

基　　金：上海高校青年教师培养资助计划项目资助(ZZSDJ13020)

摘　　要：对一类二维常系数半线性椭圆边值问题的四阶紧有限差分方法,建立了有效的单调迭代算法,给出相应的收敛性分析,并通过数值实验验证了理论分析的正确性。An effective monotone iterative algorithm is proposed for the fourth-order compact finite difference scheme of a class of two dimensional semi-linear elliptic boundary value problems. We analyze convergence rate of this iterative algorithm,give numerical results to show effective-ness of the algorithm.

关 键 词：半线性椭圆边值问题 单调迭代算法 收敛率 

分 类 号：O241.82[理学—计算数学]