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A high order method for non-smooth Fredholm equations

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Abstract

In this paper, we deal with a class of the second kind of non-smooth Fredholm integral equations, which are related closely to Wiener-Hopf equations. Using Sloan's iterative technique, we obtain the superconvergent approximations. By means of the correction and collocation methods, we present a kind of iterative correction collocation approximations for this kind of equations, and show that this method is not only a high order and more simple method but also an adaptable one (see e.g. [11]).

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Authors and Affiliations

  1. Department of Basic Science, Petrolieum University, 102200, Beijing, China

    Shi Jun

  2. Institute of Systems Science, the Chinese Academy of Sciences, 100080, Beijing, China

    Lin Qun

Authors
  1. Shi Jun
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  2. Lin Qun
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Shi, J., Lin, Q. A high order method for non-smooth Fredholm equations. Acta Mathematicae Applicatae Sinica 13, 17–22 (1997). https://doi.org/10.1007/BF02020477

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  • DOI: https://doi.org/10.1007/BF02020477

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