Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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REGULARIZED SOLUTION TO THE FREDHOLM INTEGRAL EQUATION OF THE FIRST KIND WITH NOISY DATA

  • Wen, Jin (School of Mathematics and Statistics, Lanzhou University) ;
  • Wei, Ting (School of Mathematics and Statistics, Lanzhou University)
  • 투고 : 2010.04.15
  • 심사 : 2010.06.22
  • 발행 : 2011.01.30
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초록

In this paper, we use a modified Tikhonov regularization method to solve the Fredholm integral equation of the first kind. Under the assumption that measured data are contaminated with deterministic errors, we give two error estimates. The convergence rates can be obtained under the suitable choices of regularization parameters and the number of measured points. Some numerical experiments show that the proposed method is effective and stable.

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참고문헌

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