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Journal of University of Chinese Academy of Sciences ›› 2023, Vol. 40 ›› Issue (3): 289-296.DOI: 10.7523/j.ucas.2021.0061

• Research Articles •     Next Articles

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
  • Supported by:
    National Natural Foundation of China(11871452, 12071052)

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

CLC Number: