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应用科学学报 ›› 1992, Vol. 10 ›› Issue (1): 1-24.

• 论文 •    下一篇

非线性椭圆型方程组的迭代和有限差分解法

郭本瑜1, JOHNHN J. H. MILLER2   

  1. 1. 上海科学技术大学;
    2. 爱尔兰都柏林大学
  • 收稿日期:1991-02-22 出版日期:1992-03-31 发布日期:1992-03-31

ITERATIVE AND FINITE DIFFERENCE METHODS FOR SOLVING A SYSTEM OF NONLINEAR ELLIPTIC EQUATIONS

GUO BENYTT1, JOHN J. H. MILLER2   

  1. 1. Shanghai University of Science and Technology;
    2. Numerical Analysis Group, Trinity College, Dublin 2, Ireland
  • Received:1991-02-22 Online:1992-03-31 Published:1992-03-31

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121

被引次数

1

摘要： 该文提出计算非线性椭圆型方程组的迭代和有限差分解法,证明了解的存在性与误差估计.数值结果证实了理论分析.

关键词: 非线性椭圆型方程组, 有限差分法, 迭代法

Abstract: Iterative and finite difference methods are proposed for a system of nonliear elliptic equations. The existence of solutions and error estimations of approximate solutions are proved. The numerical results support the.analysis.

Key words: iterative and finite differeuce methods, Nonlinear elliptic equations