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第二类线性Fredholm积分方程迭代算法的一个注记

王慧颖, 王晋茹

王慧颖, 王晋茹. 第二类线性Fredholm积分方程迭代算法的一个注记[J]. 北京工业大学学报, 2009, 35(3): 429-432. DOI: 10.3969/j.issn.0254-0037.2009.03.026
引用本文: 王慧颖, 王晋茹. 第二类线性Fredholm积分方程迭代算法的一个注记[J]. 北京工业大学学报, 2009, 35(3): 429-432. DOI: 10.3969/j.issn.0254-0037.2009.03.026
WANG Hui-ying, WANG Jin-ru. A Note on Iteration Methods for Linear Fredholm Integral Equations of the Second Kind[J]. Journal of Beijing University of Technology, 2009, 35(3): 429-432. DOI: 10.3969/j.issn.0254-0037.2009.03.026
Citation: WANG Hui-ying, WANG Jin-ru. A Note on Iteration Methods for Linear Fredholm Integral Equations of the Second Kind[J]. Journal of Beijing University of Technology, 2009, 35(3): 429-432. DOI: 10.3969/j.issn.0254-0037.2009.03.026

第二类线性Fredholm积分方程迭代算法的一个注记

基金项目: 

北京市自然科学基金资助项目(1082003)

北京工业大学博士科研启动基金资助项目(52006011200702).

详细信息
    作者简介:

    王慧颖(1983-),女,吉林四平人,博士生.

  • 中图分类号: O175.5

A Note on Iteration Methods for Linear Fredholm Integral Equations of the Second Kind

  • 摘要: 讨论第二类线性Fredholm积分方程Galerkin解的迭代,在Long给出的迭代算法的基础上,提出一种简化的迭代算法,并保留其迭代解的精度.
    Abstract: In this paper,we discuss the iteration algorithm for linear Fredholm integral equations of the second kind.By simplifying Long's iteration algorithm,we get an iteration correction for the approximate solution. It turns out that our algorithm has the same accuracy as that of Long's.
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    HAN Guo-qiang,WANG Rui-fang.Richardson extrapolation of iterated discrete Galkerkin solution for two-dimensional Fredholm integral equations[J].Journal of Computational and Applied Mathematics,2002,139(1):49-63.

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出版历程
  • 收稿日期:  2008-07-02
  • 网络出版日期:  2022-12-06

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