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中国科学院大学学报 ›› 2023, Vol. 40 ›› Issue (3): 289-296.DOI: 10.7523/j.ucas.2021.0061

• 数学与物理学 •    下一篇

求解第二型Fredholm积分方程的迭代快速小波Petrov-Galerkin方法

于丹丹, 燕敦验   

  1. 中国科学院大学数学科学学院, 北京 100190
  • 收稿日期:2021-03-26 修回日期:2021-04-13 发布日期:2021-10-13
  • 通讯作者: 燕敦验,E-mail:ydunyan@ucas.ac.cn
  • 基金资助:
    National Natural Foundation of China(11871452, 12071052)

Iterated fast wavelet Petrov-Galerkin methods for Fredholm integral equations of the second kind

YU Dandan, YAN Dunyan   

  1. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100190, China
  • Received:2021-03-26 Revised:2021-04-13 Published:2021-10-13
  • Supported by:
    National Natural Foundation of China(11871452, 12071052)

摘要: 给出求解带光滑核的第二型Fredholm积分方程的迭代快速小波Petrov-Galerkin方法,并分析该方法的收敛性以及计算复杂度,证明该方法可达到超收敛阶。

关键词: Petrov-Galerkin方法, 积分方程, 超收敛, 迭代法

Abstract: In this paper, we develop an iterated fast Petrov-Galerkin method for Fredholm integral equations of the second kind with the smooth kernel. The corresponding convergence and the computational complexity are analyzed. Super-convergence can be achieved.

Key words: Petrov-Galerkin method, integral equation, super convergence, iterated method

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