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On the regularization method of the first kind of Fredholm integral equation with a complex kernel and its application

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Abstract

The regularized integrodifferential equation for the first kind of Fredholm integral equation with a complex kernel is derived by generalizing the Tikhonov regularization method and the convergence of approximate regularized solutions is discussed. As an application of the method, an inverse problem in the two-demensional wave-making problem of a flat plate is solved numerically, and a practical approach of choosing optimal regularization parameter is given.

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Authors and Affiliations

  1. Shanghai Jiaotong University, 200030, Shanghai, P.R. China

    You Yunxiang & Miao Guoping

Authors
  1. You Yunxiang
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  2. Miao Guoping
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Communicated by Dai Shiqiang

Project supported by the National Natural Science Foundation, of China

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Yunxiang, Y., Guoping, M. On the regularization method of the first kind of Fredholm integral equation with a complex kernel and its application. Appl Math Mech 19, 75–83 (1998). https://doi.org/10.1007/BF02458983

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  • DOI: https://doi.org/10.1007/BF02458983

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